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Finding the Fourth Proportional to 707.18, 1,060.49 and 511.59

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Solution

The fourth proportional to 707.18, 1,060.49 and 511.59 is: 767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.18 : 1,060.49 = 511.59 : x
  2. Step 2: Convert to fraction form
    707.18/1,060.49 = 511.59/x
  3. Step 3: Cross multiply
    707.18x = 1,060.49 × 511.59
  4. Step 4: Simplify right side
    707.18x = 542,530.78
  5. Step 5: Solve for x
    x = 542,530.78/707.18
  6. Step 6: Final answer
    x = 767.17

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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.