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Finding the Fourth Proportional to 687.29, 948.04 and 604.40

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Solution

The fourth proportional to 687.29, 948.04 and 604.40 is: 833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.29 : 948.04 = 604.40 : x
  2. Step 2: Convert to fraction form
    687.29/948.04 = 604.40/x
  3. Step 3: Cross multiply
    687.29x = 948.04 × 604.40
  4. Step 4: Simplify right side
    687.29x = 572,989.12
  5. Step 5: Solve for x
    x = 572,989.12/687.29
  6. Step 6: Final answer
    x = 833.70

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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.