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Finding the Fourth Proportional to 863.66, 1,295.53 and 315.77

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Solution

The fourth proportional to 863.66, 1,295.53 and 315.77 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,295.53 = 315.77 : x
  2. Step 2: Convert to fraction form
    863.66/1,295.53 = 315.77/x
  3. Step 3: Cross multiply
    863.66x = 1,295.53 × 315.77
  4. Step 4: Simplify right side
    863.66x = 409,082.24
  5. Step 5: Solve for x
    x = 409,082.24/863.66
  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.