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Finding the Fourth Proportional to 912.10, 1,256.45 and 726.22

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Solution

The fourth proportional to 912.10, 1,256.45 and 726.22 is: 1,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.10 : 1,256.45 = 726.22 : x
  2. Step 2: Convert to fraction form
    912.10/1,256.45 = 726.22/x
  3. Step 3: Cross multiply
    912.10x = 1,256.45 × 726.22
  4. Step 4: Simplify right side
    912.10x = 912,459.12
  5. Step 5: Solve for x
    x = 912,459.12/912.10
  6. Step 6: Final answer
    x = 1,000.39

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1.5x scale

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.