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Finding the Fourth Proportional to 478.90, 713 and 472.06

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Solution

The fourth proportional to 478.90, 713 and 472.06 is: 702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.90 : 713 = 472.06 : x
  2. Step 2: Convert to fraction form
    478.90/713 = 472.06/x
  3. Step 3: Cross multiply
    478.90x = 713 × 472.06
  4. Step 4: Simplify right side
    478.90x = 336,578.78
  5. Step 5: Solve for x
    x = 336,578.78/478.90
  6. Step 6: Final answer
    x = 702.82

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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.