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Finding the Fourth Proportional to 460.80, 688.10 and 400.08

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Solution

The fourth proportional to 460.80, 688.10 and 400.08 is: 597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 688.10 = 400.08 : x
  2. Step 2: Convert to fraction form
    460.80/688.10 = 400.08/x
  3. Step 3: Cross multiply
    460.80x = 688.10 × 400.08
  4. Step 4: Simplify right side
    460.80x = 275,295.05
  5. Step 5: Solve for x
    x = 275,295.05/460.80
  6. Step 6: Final answer
    x = 597.43

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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.