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Finding the Fourth Proportional to 497.49, 747.38 and 469.81

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Solution

The fourth proportional to 497.49, 747.38 and 469.81 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.49 : 747.38 = 469.81 : x
  2. Step 2: Convert to fraction form
    497.49/747.38 = 469.81/x
  3. Step 3: Cross multiply
    497.49x = 747.38 × 469.81
  4. Step 4: Simplify right side
    497.49x = 351,126.60
  5. Step 5: Solve for x
    x = 351,126.60/497.49
  6. Step 6: Final answer
    x = 705.80

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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.