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Finding the Fourth Proportional to 585.89, 877.03 and 493.97

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Solution

The fourth proportional to 585.89, 877.03 and 493.97 is: 739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.89 : 877.03 = 493.97 : x
  2. Step 2: Convert to fraction form
    585.89/877.03 = 493.97/x
  3. Step 3: Cross multiply
    585.89x = 877.03 × 493.97
  4. Step 4: Simplify right side
    585.89x = 433,226.51
  5. Step 5: Solve for x
    x = 433,226.51/585.89
  6. Step 6: Final answer
    x = 739.43

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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.