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Finding the Fourth Proportional to 581.52, 802.23 and 382.57

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Solution

The fourth proportional to 581.52, 802.23 and 382.57 is: 527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.52 : 802.23 = 382.57 : x
  2. Step 2: Convert to fraction form
    581.52/802.23 = 382.57/x
  3. Step 3: Cross multiply
    581.52x = 802.23 × 382.57
  4. Step 4: Simplify right side
    581.52x = 306,909.13
  5. Step 5: Solve for x
    x = 306,909.13/581.52
  6. Step 6: Final answer
    x = 527.77

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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.