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Finding the Fourth Proportional to 707.48, 1,060.14 and 382.52

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Solution

The fourth proportional to 707.48, 1,060.14 and 382.52 is: 573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 1,060.14 = 382.52 : x
  2. Step 2: Convert to fraction form
    707.48/1,060.14 = 382.52/x
  3. Step 3: Cross multiply
    707.48x = 1,060.14 × 382.52
  4. Step 4: Simplify right side
    707.48x = 405,524.75
  5. Step 5: Solve for x
    x = 405,524.75/707.48
  6. Step 6: Final answer
    x = 573.20

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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.