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Finding the Fourth Proportional to 619.34, 925.18 and 497.84

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Solution

The fourth proportional to 619.34, 925.18 and 497.84 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.34 : 925.18 = 497.84 : x
  2. Step 2: Convert to fraction form
    619.34/925.18 = 497.84/x
  3. Step 3: Cross multiply
    619.34x = 925.18 × 497.84
  4. Step 4: Simplify right side
    619.34x = 460,591.61
  5. Step 5: Solve for x
    x = 460,591.61/619.34
  6. Step 6: Final answer
    x = 743.68

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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.