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Finding the Fourth Proportional to 686.58, 1,024.82 and 604.56

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Solution

The fourth proportional to 686.58, 1,024.82 and 604.56 is: 902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.58 : 1,024.82 = 604.56 : x
  2. Step 2: Convert to fraction form
    686.58/1,024.82 = 604.56/x
  3. Step 3: Cross multiply
    686.58x = 1,024.82 × 604.56
  4. Step 4: Simplify right side
    686.58x = 619,568.27
  5. Step 5: Solve for x
    x = 619,568.27/686.58
  6. Step 6: Final answer
    x = 902.40

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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.