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Finding the Fourth Proportional to 581.48, 867.95 and 532.78

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Solution

The fourth proportional to 581.48, 867.95 and 532.78 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 867.95 = 532.78 : x
  2. Step 2: Convert to fraction form
    581.48/867.95 = 532.78/x
  3. Step 3: Cross multiply
    581.48x = 867.95 × 532.78
  4. Step 4: Simplify right side
    581.48x = 462,423.57
  5. Step 5: Solve for x
    x = 462,423.57/581.48
  6. Step 6: Final answer
    x = 795.25

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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.