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Finding the Fourth Proportional to 1,516.38, 2,275.53 and 868.38

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Solution

The fourth proportional to 1,516.38, 2,275.53 and 868.38 is: 1,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.38 : 2,275.53 = 868.38 : x
  2. Step 2: Convert to fraction form
    1,516.38/2,275.53 = 868.38/x
  3. Step 3: Cross multiply
    1,516.38x = 2,275.53 × 868.38
  4. Step 4: Simplify right side
    1,516.38x = 1,976,024.74
  5. Step 5: Solve for x
    x = 1,976,024.74/1,516.38
  6. Step 6: Final answer
    x = 1,303.12

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1.5x scale

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.