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Finding the Fourth Proportional to 572.13, 857.61 and 324.98

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Solution

The fourth proportional to 572.13, 857.61 and 324.98 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.13 : 857.61 = 324.98 : x
  2. Step 2: Convert to fraction form
    572.13/857.61 = 324.98/x
  3. Step 3: Cross multiply
    572.13x = 857.61 × 324.98
  4. Step 4: Simplify right side
    572.13x = 278,701.81
  5. Step 5: Solve for x
    x = 278,701.81/572.13
  6. Step 6: Final answer
    x = 487.13

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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.