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Finding the Fourth Proportional to 584.68, 874.78 and 497.80

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Solution

The fourth proportional to 584.68, 874.78 and 497.80 is: 744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.68 : 874.78 = 497.80 : x
  2. Step 2: Convert to fraction form
    584.68/874.78 = 497.80/x
  3. Step 3: Cross multiply
    584.68x = 874.78 × 497.80
  4. Step 4: Simplify right side
    584.68x = 435,465.48
  5. Step 5: Solve for x
    x = 435,465.48/584.68
  6. Step 6: Final answer
    x = 744.79

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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.