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Finding the Fourth Proportional to 706.46, 1,056.72 and 608.18

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Solution

The fourth proportional to 706.46, 1,056.72 and 608.18 is: 909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,056.72 = 608.18 : x
  2. Step 2: Convert to fraction form
    706.46/1,056.72 = 608.18/x
  3. Step 3: Cross multiply
    706.46x = 1,056.72 × 608.18
  4. Step 4: Simplify right side
    706.46x = 642,675.97
  5. Step 5: Solve for x
    x = 642,675.97/706.46
  6. Step 6: Final answer
    x = 909.71

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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.