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Finding the Fourth Proportional to 707.63, 1,061.42 and 706.61

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Solution

The fourth proportional to 707.63, 1,061.42 and 706.61 is: 1,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.63 : 1,061.42 = 706.61 : x
  2. Step 2: Convert to fraction form
    707.63/1,061.42 = 706.61/x
  3. Step 3: Cross multiply
    707.63x = 1,061.42 × 706.61
  4. Step 4: Simplify right side
    707.63x = 750,009.11
  5. Step 5: Solve for x
    x = 750,009.11/707.63
  6. Step 6: Final answer
    x = 1,059.90

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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.