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Finding the Fourth Proportional to 707.89, 1,061.84 and 291.31

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Solution

The fourth proportional to 707.89, 1,061.84 and 291.31 is: 436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.89 : 1,061.84 = 291.31 : x
  2. Step 2: Convert to fraction form
    707.89/1,061.84 = 291.31/x
  3. Step 3: Cross multiply
    707.89x = 1,061.84 × 291.31
  4. Step 4: Simplify right side
    707.89x = 309,324.61
  5. Step 5: Solve for x
    x = 309,324.61/707.89
  6. Step 6: Final answer
    x = 436.97

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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.