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Finding the Fourth Proportional to 590.40, 885.60 and 407.61

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Solution

The fourth proportional to 590.40, 885.60 and 407.61 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 885.60 = 407.61 : x
  2. Step 2: Convert to fraction form
    590.40/885.60 = 407.61/x
  3. Step 3: Cross multiply
    590.40x = 885.60 × 407.61
  4. Step 4: Simplify right side
    590.40x = 360,979.42
  5. Step 5: Solve for x
    x = 360,979.42/590.40
  6. Step 6: Final answer
    x = 611.42

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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.