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Finding the Fourth Proportional to 584.91, 873.10 and 539.55

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Solution

The fourth proportional to 584.91, 873.10 and 539.55 is: 805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 873.10 = 539.55 : x
  2. Step 2: Convert to fraction form
    584.91/873.10 = 539.55/x
  3. Step 3: Cross multiply
    584.91x = 873.10 × 539.55
  4. Step 4: Simplify right side
    584.91x = 471,079.76
  5. Step 5: Solve for x
    x = 471,079.76/584.91
  6. Step 6: Final answer
    x = 805.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.