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Finding the Fourth Proportional to 535.11, 802.67 and 318.57

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Solution

The fourth proportional to 535.11, 802.67 and 318.57 is: 477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.11 : 802.67 = 318.57 : x
  2. Step 2: Convert to fraction form
    535.11/802.67 = 318.57/x
  3. Step 3: Cross multiply
    535.11x = 802.67 × 318.57
  4. Step 4: Simplify right side
    535.11x = 255,706.58
  5. Step 5: Solve for x
    x = 255,706.58/535.11
  6. Step 6: Final answer
    x = 477.86

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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.