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Finding the Fourth Proportional to 885.47, 1,221.62 and 590.22

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Solution

The fourth proportional to 885.47, 1,221.62 and 590.22 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.47 : 1,221.62 = 590.22 : x
  2. Step 2: Convert to fraction form
    885.47/1,221.62 = 590.22/x
  3. Step 3: Cross multiply
    885.47x = 1,221.62 × 590.22
  4. Step 4: Simplify right side
    885.47x = 721,021.61
  5. Step 5: Solve for x
    x = 721,021.61/885.47
  6. Step 6: Final answer
    x = 814.29

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1.5x scale

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.