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Finding the Fourth Proportional to 585.44, 876.56 and 400.66

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Solution

The fourth proportional to 585.44, 876.56 and 400.66 is: 599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.44 : 876.56 = 400.66 : x
  2. Step 2: Convert to fraction form
    585.44/876.56 = 400.66/x
  3. Step 3: Cross multiply
    585.44x = 876.56 × 400.66
  4. Step 4: Simplify right side
    585.44x = 351,202.53
  5. Step 5: Solve for x
    x = 351,202.53/585.44
  6. Step 6: Final answer
    x = 599.90

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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.