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Finding the Fourth Proportional to 473.78, 711.71 and 337.70

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Solution

The fourth proportional to 473.78, 711.71 and 337.70 is: 507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 711.71 = 337.70 : x
  2. Step 2: Convert to fraction form
    473.78/711.71 = 337.70/x
  3. Step 3: Cross multiply
    473.78x = 711.71 × 337.70
  4. Step 4: Simplify right side
    473.78x = 240,339.22
  5. Step 5: Solve for x
    x = 240,339.22/473.78
  6. Step 6: Final answer
    x = 507.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.