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Finding the Fourth Proportional to 585.42, 876.60 and 493.89

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Solution

The fourth proportional to 585.42, 876.60 and 493.89 is: 739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 876.60 = 493.89 : x
  2. Step 2: Convert to fraction form
    585.42/876.60 = 493.89/x
  3. Step 3: Cross multiply
    585.42x = 876.60 × 493.89
  4. Step 4: Simplify right side
    585.42x = 432,943.97
  5. Step 5: Solve for x
    x = 432,943.97/585.42
  6. Step 6: Final answer
    x = 739.54

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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.