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Finding the Fourth Proportional to 706.42, 1,059.47 and 476.71

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Solution

The fourth proportional to 706.42, 1,059.47 and 476.71 is: 714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.42 : 1,059.47 = 476.71 : x
  2. Step 2: Convert to fraction form
    706.42/1,059.47 = 476.71/x
  3. Step 3: Cross multiply
    706.42x = 1,059.47 × 476.71
  4. Step 4: Simplify right side
    706.42x = 505,059.94
  5. Step 5: Solve for x
    x = 505,059.94/706.42
  6. Step 6: Final answer
    x = 714.96

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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.