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Finding the Fourth Proportional to 705.84, 1,060.27 and 432.09

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Solution

The fourth proportional to 705.84, 1,060.27 and 432.09 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,060.27 = 432.09 : x
  2. Step 2: Convert to fraction form
    705.84/1,060.27 = 432.09/x
  3. Step 3: Cross multiply
    705.84x = 1,060.27 × 432.09
  4. Step 4: Simplify right side
    705.84x = 458,132.06
  5. Step 5: Solve for x
    x = 458,132.06/705.84
  6. Step 6: Final answer
    x = 649.06

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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.