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Finding the Fourth Proportional to 910.57, 1,257.04 and 537.67

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Solution

The fourth proportional to 910.57, 1,257.04 and 537.67 is: 742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.57 : 1,257.04 = 537.67 : x
  2. Step 2: Convert to fraction form
    910.57/1,257.04 = 537.67/x
  3. Step 3: Cross multiply
    910.57x = 1,257.04 × 537.67
  4. Step 4: Simplify right side
    910.57x = 675,863.72
  5. Step 5: Solve for x
    x = 675,863.72/910.57
  6. Step 6: Final answer
    x = 742.24

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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.