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Finding the Fourth Proportional to 508.40, 757.66 and 497.48

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Solution

The fourth proportional to 508.40, 757.66 and 497.48 is: 741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 757.66 = 497.48 : x
  2. Step 2: Convert to fraction form
    508.40/757.66 = 497.48/x
  3. Step 3: Cross multiply
    508.40x = 757.66 × 497.48
  4. Step 4: Simplify right side
    508.40x = 376,920.70
  5. Step 5: Solve for x
    x = 376,920.70/508.40
  6. Step 6: Final answer
    x = 741.39

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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.