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Finding the Fourth Proportional to 912.94, 1,368.50 and 502.27

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Solution

The fourth proportional to 912.94, 1,368.50 and 502.27 is: 752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.94 : 1,368.50 = 502.27 : x
  2. Step 2: Convert to fraction form
    912.94/1,368.50 = 502.27/x
  3. Step 3: Cross multiply
    912.94x = 1,368.50 × 502.27
  4. Step 4: Simplify right side
    912.94x = 687,350.56
  5. Step 5: Solve for x
    x = 687,350.56/912.94
  6. Step 6: Final answer
    x = 752.90

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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.