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Finding the Fourth Proportional to 1,355.62, 2,032.67 and 431.01

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Solution

The fourth proportional to 1,355.62, 2,032.67 and 431.01 is: 646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.62 : 2,032.67 = 431.01 : x
  2. Step 2: Convert to fraction form
    1,355.62/2,032.67 = 431.01/x
  3. Step 3: Cross multiply
    1,355.62x = 2,032.67 × 431.01
  4. Step 4: Simplify right side
    1,355.62x = 876,101.10
  5. Step 5: Solve for x
    x = 876,101.10/1,355.62
  6. Step 6: Final answer
    x = 646.27

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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.