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Finding the Fourth Proportional to 1,260.47, 1,890.71 and 686.99

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Solution

The fourth proportional to 1,260.47, 1,890.71 and 686.99 is: 1,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.47 : 1,890.71 = 686.99 : x
  2. Step 2: Convert to fraction form
    1,260.47/1,890.71 = 686.99/x
  3. Step 3: Cross multiply
    1,260.47x = 1,890.71 × 686.99
  4. Step 4: Simplify right side
    1,260.47x = 1,298,905.31
  5. Step 5: Solve for x
    x = 1,298,905.31/1,260.47
  6. Step 6: Final answer
    x = 1,030.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.