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Finding the Fourth Proportional to 500.40, 747.33 and 419.32

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Solution

The fourth proportional to 500.40, 747.33 and 419.32 is: 626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 747.33 = 419.32 : x
  2. Step 2: Convert to fraction form
    500.40/747.33 = 419.32/x
  3. Step 3: Cross multiply
    500.40x = 747.33 × 419.32
  4. Step 4: Simplify right side
    500.40x = 313,370.42
  5. Step 5: Solve for x
    x = 313,370.42/500.40
  6. Step 6: Final answer
    x = 626.24

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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.