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Finding the Fourth Proportional to 714.18, 1,063.59 and 689.88

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Solution

The fourth proportional to 714.18, 1,063.59 and 689.88 is: 1,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.18 : 1,063.59 = 689.88 : x
  2. Step 2: Convert to fraction form
    714.18/1,063.59 = 689.88/x
  3. Step 3: Cross multiply
    714.18x = 1,063.59 × 689.88
  4. Step 4: Simplify right side
    714.18x = 733,749.47
  5. Step 5: Solve for x
    x = 733,749.47/714.18
  6. Step 6: Final answer
    x = 1,027.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.