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Finding the Fourth Proportional to 581.88, 802.72 and 371.95

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Solution

The fourth proportional to 581.88, 802.72 and 371.95 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.88 : 802.72 = 371.95 : x
  2. Step 2: Convert to fraction form
    581.88/802.72 = 371.95/x
  3. Step 3: Cross multiply
    581.88x = 802.72 × 371.95
  4. Step 4: Simplify right side
    581.88x = 298,571.70
  5. Step 5: Solve for x
    x = 298,571.70/581.88
  6. Step 6: Final answer
    x = 513.12

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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.