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Finding the Fourth Proportional to 1,132.99, 1,699.49 and 646.41

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Solution

The fourth proportional to 1,132.99, 1,699.49 and 646.41 is: 969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.99 : 1,699.49 = 646.41 : x
  2. Step 2: Convert to fraction form
    1,132.99/1,699.49 = 646.41/x
  3. Step 3: Cross multiply
    1,132.99x = 1,699.49 × 646.41
  4. Step 4: Simplify right side
    1,132.99x = 1,098,567.33
  5. Step 5: Solve for x
    x = 1,098,567.33/1,132.99
  6. Step 6: Final answer
    x = 969.62

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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.