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Finding the Fourth Proportional to 885.52, 1,221.50 and 575.02

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Solution

The fourth proportional to 885.52, 1,221.50 and 575.02 is: 793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.52 : 1,221.50 = 575.02 : x
  2. Step 2: Convert to fraction form
    885.52/1,221.50 = 575.02/x
  3. Step 3: Cross multiply
    885.52x = 1,221.50 × 575.02
  4. Step 4: Simplify right side
    885.52x = 702,386.93
  5. Step 5: Solve for x
    x = 702,386.93/885.52
  6. Step 6: Final answer
    x = 793.19

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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.