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Finding the Fourth Proportional to 478.23, 714.02 and 473.10

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Solution

The fourth proportional to 478.23, 714.02 and 473.10 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 714.02 = 473.10 : x
  2. Step 2: Convert to fraction form
    478.23/714.02 = 473.10/x
  3. Step 3: Cross multiply
    478.23x = 714.02 × 473.10
  4. Step 4: Simplify right side
    478.23x = 337,802.86
  5. Step 5: Solve for x
    x = 337,802.86/478.23
  6. Step 6: Final answer
    x = 706.36

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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.