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Finding the Fourth Proportional to 478.13, 714.01 and 472.98

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Solution

The fourth proportional to 478.13, 714.01 and 472.98 is: 706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 714.01 = 472.98 : x
  2. Step 2: Convert to fraction form
    478.13/714.01 = 472.98/x
  3. Step 3: Cross multiply
    478.13x = 714.01 × 472.98
  4. Step 4: Simplify right side
    478.13x = 337,712.45
  5. Step 5: Solve for x
    x = 337,712.45/478.13
  6. Step 6: Final answer
    x = 706.32

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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.