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Finding the Fourth Proportional to 581.54, 869.17 and 535.42

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Solution

The fourth proportional to 581.54, 869.17 and 535.42 is: 800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.54 : 869.17 = 535.42 : x
  2. Step 2: Convert to fraction form
    581.54/869.17 = 535.42/x
  3. Step 3: Cross multiply
    581.54x = 869.17 × 535.42
  4. Step 4: Simplify right side
    581.54x = 465,371.00
  5. Step 5: Solve for x
    x = 465,371.00/581.54
  6. Step 6: Final answer
    x = 800.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.