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Finding the Fourth Proportional to 910.78, 1,257.02 and 512.61

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Solution

The fourth proportional to 910.78, 1,257.02 and 512.61 is: 707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.78 : 1,257.02 = 512.61 : x
  2. Step 2: Convert to fraction form
    910.78/1,257.02 = 512.61/x
  3. Step 3: Cross multiply
    910.78x = 1,257.02 × 512.61
  4. Step 4: Simplify right side
    910.78x = 644,361.02
  5. Step 5: Solve for x
    x = 644,361.02/910.78
  6. Step 6: Final answer
    x = 707.48

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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.