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Finding the Fourth Proportional to 1,124.95, 1,687.06 and 431.10

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Solution

The fourth proportional to 1,124.95, 1,687.06 and 431.10 is: 646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.95 : 1,687.06 = 431.10 : x
  2. Step 2: Convert to fraction form
    1,124.95/1,687.06 = 431.10/x
  3. Step 3: Cross multiply
    1,124.95x = 1,687.06 × 431.10
  4. Step 4: Simplify right side
    1,124.95x = 727,291.57
  5. Step 5: Solve for x
    x = 727,291.57/1,124.95
  6. Step 6: Final answer
    x = 646.51

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Half scale
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Double scale
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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.