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Finding the Fourth Proportional to 497.34, 749.25 and 389.61

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Solution

The fourth proportional to 497.34, 749.25 and 389.61 is: 586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 749.25 = 389.61 : x
  2. Step 2: Convert to fraction form
    497.34/749.25 = 389.61/x
  3. Step 3: Cross multiply
    497.34x = 749.25 × 389.61
  4. Step 4: Simplify right side
    497.34x = 291,915.29
  5. Step 5: Solve for x
    x = 291,915.29/497.34
  6. Step 6: Final answer
    x = 586.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.