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Finding the Fourth Proportional to 586.80, 879.12 and 394.08

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Solution

The fourth proportional to 586.80, 879.12 and 394.08 is: 590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.80 : 879.12 = 394.08 : x
  2. Step 2: Convert to fraction form
    586.80/879.12 = 394.08/x
  3. Step 3: Cross multiply
    586.80x = 879.12 × 394.08
  4. Step 4: Simplify right side
    586.80x = 346,443.61
  5. Step 5: Solve for x
    x = 346,443.61/586.80
  6. Step 6: Final answer
    x = 590.39

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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.