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Finding the Fourth Proportional to 689.84, 951.76 and 410.16

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Solution

The fourth proportional to 689.84, 951.76 and 410.16 is: 565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.84 : 951.76 = 410.16 : x
  2. Step 2: Convert to fraction form
    689.84/951.76 = 410.16/x
  3. Step 3: Cross multiply
    689.84x = 951.76 × 410.16
  4. Step 4: Simplify right side
    689.84x = 390,373.88
  5. Step 5: Solve for x
    x = 390,373.88/689.84
  6. Step 6: Final answer
    x = 565.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.