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Finding the Fourth Proportional to 910.08, 1,257.66 and 735.12

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Solution

The fourth proportional to 910.08, 1,257.66 and 735.12 is: 1,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.08 : 1,257.66 = 735.12 : x
  2. Step 2: Convert to fraction form
    910.08/1,257.66 = 735.12/x
  3. Step 3: Cross multiply
    910.08x = 1,257.66 × 735.12
  4. Step 4: Simplify right side
    910.08x = 924,531.02
  5. Step 5: Solve for x
    x = 924,531.02/910.08
  6. Step 6: Final answer
    x = 1,015.88

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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.