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Finding the Fourth Proportional to 590.62, 813.76 and 440.61

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Solution

The fourth proportional to 590.62, 813.76 and 440.61 is: 607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.62 : 813.76 = 440.61 : x
  2. Step 2: Convert to fraction form
    590.62/813.76 = 440.61/x
  3. Step 3: Cross multiply
    590.62x = 813.76 × 440.61
  4. Step 4: Simplify right side
    590.62x = 358,550.79
  5. Step 5: Solve for x
    x = 358,550.79/590.62
  6. Step 6: Final answer
    x = 607.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.