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Finding the Fourth Proportional to 714.39, 1,070.01 and 439.66

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Solution

The fourth proportional to 714.39, 1,070.01 and 439.66 is: 658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.39 : 1,070.01 = 439.66 : x
  2. Step 2: Convert to fraction form
    714.39/1,070.01 = 439.66/x
  3. Step 3: Cross multiply
    714.39x = 1,070.01 × 439.66
  4. Step 4: Simplify right side
    714.39x = 470,440.60
  5. Step 5: Solve for x
    x = 470,440.60/714.39
  6. Step 6: Final answer
    x = 658.52

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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.