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Finding the Fourth Proportional to 1,502.26, 2,072.53 and 912.58

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Solution

The fourth proportional to 1,502.26, 2,072.53 and 912.58 is: 1,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.26 : 2,072.53 = 912.58 : x
  2. Step 2: Convert to fraction form
    1,502.26/2,072.53 = 912.58/x
  3. Step 3: Cross multiply
    1,502.26x = 2,072.53 × 912.58
  4. Step 4: Simplify right side
    1,502.26x = 1,891,349.43
  5. Step 5: Solve for x
    x = 1,891,349.43/1,502.26
  6. Step 6: Final answer
    x = 1,259.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.