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Finding the Fourth Proportional to 472.65, 710.51 and 291.19

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Solution

The fourth proportional to 472.65, 710.51 and 291.19 is: 437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.65 : 710.51 = 291.19 : x
  2. Step 2: Convert to fraction form
    472.65/710.51 = 291.19/x
  3. Step 3: Cross multiply
    472.65x = 710.51 × 291.19
  4. Step 4: Simplify right side
    472.65x = 206,891.95
  5. Step 5: Solve for x
    x = 206,891.95/472.65
  6. Step 6: Final answer
    x = 437.73

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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.