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Finding the Fourth Proportional to 478.17, 711.59 and 460.89

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Solution

The fourth proportional to 478.17, 711.59 and 460.89 is: 685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.17 : 711.59 = 460.89 : x
  2. Step 2: Convert to fraction form
    478.17/711.59 = 460.89/x
  3. Step 3: Cross multiply
    478.17x = 711.59 × 460.89
  4. Step 4: Simplify right side
    478.17x = 327,962.41
  5. Step 5: Solve for x
    x = 327,962.41/478.17
  6. Step 6: Final answer
    x = 685.87

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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.