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Finding the Fourth Proportional to 709.63, 1,056.92 and 706.12

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Solution

The fourth proportional to 709.63, 1,056.92 and 706.12 is: 1,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 1,056.92 = 706.12 : x
  2. Step 2: Convert to fraction form
    709.63/1,056.92 = 706.12/x
  3. Step 3: Cross multiply
    709.63x = 1,056.92 × 706.12
  4. Step 4: Simplify right side
    709.63x = 746,306.18
  5. Step 5: Solve for x
    x = 746,306.18/709.63
  6. Step 6: Final answer
    x = 1,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.