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Finding the Fourth Proportional to 782.72, 1,170.86 and 714.28

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Solution

The fourth proportional to 782.72, 1,170.86 and 714.28 is: 1,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.72 : 1,170.86 = 714.28 : x
  2. Step 2: Convert to fraction form
    782.72/1,170.86 = 714.28/x
  3. Step 3: Cross multiply
    782.72x = 1,170.86 × 714.28
  4. Step 4: Simplify right side
    782.72x = 836,321.88
  5. Step 5: Solve for x
    x = 836,321.88/782.72
  6. Step 6: Final answer
    x = 1,068.48

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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.