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Finding the Fourth Proportional to 632.64, 943.80 and 602.40

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Solution

The fourth proportional to 632.64, 943.80 and 602.40 is: 898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.64 : 943.80 = 602.40 : x
  2. Step 2: Convert to fraction form
    632.64/943.80 = 602.40/x
  3. Step 3: Cross multiply
    632.64x = 943.80 × 602.40
  4. Step 4: Simplify right side
    632.64x = 568,545.12
  5. Step 5: Solve for x
    x = 568,545.12/632.64
  6. Step 6: Final answer
    x = 898.69

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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.