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Finding the Fourth Proportional to 585.04, 877.56 and 517.23

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Solution

The fourth proportional to 585.04, 877.56 and 517.23 is: 775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.04 : 877.56 = 517.23 : x
  2. Step 2: Convert to fraction form
    585.04/877.56 = 517.23/x
  3. Step 3: Cross multiply
    585.04x = 877.56 × 517.23
  4. Step 4: Simplify right side
    585.04x = 453,895.97
  5. Step 5: Solve for x
    x = 453,895.97/585.04
  6. Step 6: Final answer
    x = 775.84

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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.