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Finding the Fourth Proportional to 460.62, 688.91 and 400.68

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Solution

The fourth proportional to 460.62, 688.91 and 400.68 is: 599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 688.91 = 400.68 : x
  2. Step 2: Convert to fraction form
    460.62/688.91 = 400.68/x
  3. Step 3: Cross multiply
    460.62x = 688.91 × 400.68
  4. Step 4: Simplify right side
    460.62x = 276,030.46
  5. Step 5: Solve for x
    x = 276,030.46/460.62
  6. Step 6: Final answer
    x = 599.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.