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Finding the Fourth Proportional to 590.90, 885.13 and 407.43

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Solution

The fourth proportional to 590.90, 885.13 and 407.43 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.90 : 885.13 = 407.43 : x
  2. Step 2: Convert to fraction form
    590.90/885.13 = 407.43/x
  3. Step 3: Cross multiply
    590.90x = 885.13 × 407.43
  4. Step 4: Simplify right side
    590.90x = 360,627.50
  5. Step 5: Solve for x
    x = 360,627.50/590.90
  6. Step 6: Final answer
    x = 610.31

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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.