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Finding the Fourth Proportional to 581.15, 802.13 and 359.97

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Solution

The fourth proportional to 581.15, 802.13 and 359.97 is: 496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.15 : 802.13 = 359.97 : x
  2. Step 2: Convert to fraction form
    581.15/802.13 = 359.97/x
  3. Step 3: Cross multiply
    581.15x = 802.13 × 359.97
  4. Step 4: Simplify right side
    581.15x = 288,742.74
  5. Step 5: Solve for x
    x = 288,742.74/581.15
  6. Step 6: Final answer
    x = 496.85

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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.