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Finding the Fourth Proportional to 613.20, 924.12 and 583.92

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Solution

The fourth proportional to 613.20, 924.12 and 583.92 is: 879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 924.12 = 583.92 : x
  2. Step 2: Convert to fraction form
    613.20/924.12 = 583.92/x
  3. Step 3: Cross multiply
    613.20x = 924.12 × 583.92
  4. Step 4: Simplify right side
    613.20x = 539,612.15
  5. Step 5: Solve for x
    x = 539,612.15/613.20
  6. Step 6: Final answer
    x = 879.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.