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Finding the Fourth Proportional to 910.85, 1,256.90 and 537.75

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Solution

The fourth proportional to 910.85, 1,256.90 and 537.75 is: 742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.85 : 1,256.90 = 537.75 : x
  2. Step 2: Convert to fraction form
    910.85/1,256.90 = 537.75/x
  3. Step 3: Cross multiply
    910.85x = 1,256.90 × 537.75
  4. Step 4: Simplify right side
    910.85x = 675,895.29
  5. Step 5: Solve for x
    x = 675,895.29/910.85
  6. Step 6: Final answer
    x = 742.05

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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.