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Finding the Fourth Proportional to 802.91, 1,204.64 and 315.70

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Solution

The fourth proportional to 802.91, 1,204.64 and 315.70 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.91 : 1,204.64 = 315.70 : x
  2. Step 2: Convert to fraction form
    802.91/1,204.64 = 315.70/x
  3. Step 3: Cross multiply
    802.91x = 1,204.64 × 315.70
  4. Step 4: Simplify right side
    802.91x = 380,304.85
  5. Step 5: Solve for x
    x = 380,304.85/802.91
  6. Step 6: Final answer
    x = 473.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.