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Finding the Fourth Proportional to 500.40, 746.93 and 431.15

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Solution

The fourth proportional to 500.40, 746.93 and 431.15 is: 643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 746.93 = 431.15 : x
  2. Step 2: Convert to fraction form
    500.40/746.93 = 431.15/x
  3. Step 3: Cross multiply
    500.40x = 746.93 × 431.15
  4. Step 4: Simplify right side
    500.40x = 322,036.21
  5. Step 5: Solve for x
    x = 322,036.21/500.40
  6. Step 6: Final answer
    x = 643.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.