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Finding the Fourth Proportional to 402.70, 600.95 and 400.48

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Solution

The fourth proportional to 402.70, 600.95 and 400.48 is: 597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.70 : 600.95 = 400.48 : x
  2. Step 2: Convert to fraction form
    402.70/600.95 = 400.48/x
  3. Step 3: Cross multiply
    402.70x = 600.95 × 400.48
  4. Step 4: Simplify right side
    402.70x = 240,668.46
  5. Step 5: Solve for x
    x = 240,668.46/402.70
  6. Step 6: Final answer
    x = 597.64

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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.