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Finding the Fourth Proportional to 714.96, 1,070.76 and 669.84

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Solution

The fourth proportional to 714.96, 1,070.76 and 669.84 is: 1,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.96 : 1,070.76 = 669.84 : x
  2. Step 2: Convert to fraction form
    714.96/1,070.76 = 669.84/x
  3. Step 3: Cross multiply
    714.96x = 1,070.76 × 669.84
  4. Step 4: Simplify right side
    714.96x = 717,237.88
  5. Step 5: Solve for x
    x = 717,237.88/714.96
  6. Step 6: Final answer
    x = 1,003.19

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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.