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Finding the Fourth Proportional to 584.79, 877.53 and 539.69

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Solution

The fourth proportional to 584.79, 877.53 and 539.69 is: 809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.79 : 877.53 = 539.69 : x
  2. Step 2: Convert to fraction form
    584.79/877.53 = 539.69/x
  3. Step 3: Cross multiply
    584.79x = 877.53 × 539.69
  4. Step 4: Simplify right side
    584.79x = 473,594.27
  5. Step 5: Solve for x
    x = 473,594.27/584.79
  6. Step 6: Final answer
    x = 809.85

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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.