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Finding the Fourth Proportional to 707.47, 1,061.52 and 382.46

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Solution

The fourth proportional to 707.47, 1,061.52 and 382.46 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.47 : 1,061.52 = 382.46 : x
  2. Step 2: Convert to fraction form
    707.47/1,061.52 = 382.46/x
  3. Step 3: Cross multiply
    707.47x = 1,061.52 × 382.46
  4. Step 4: Simplify right side
    707.47x = 405,988.94
  5. Step 5: Solve for x
    x = 405,988.94/707.47
  6. Step 6: Final answer
    x = 573.86

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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.