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Finding the Fourth Proportional to 910.89, 1,256.75 and 538.00

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Solution

The fourth proportional to 910.89, 1,256.75 and 538.00 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.89 : 1,256.75 = 538.00 : x
  2. Step 2: Convert to fraction form
    910.89/1,256.75 = 538.00/x
  3. Step 3: Cross multiply
    910.89x = 1,256.75 × 538.00
  4. Step 4: Simplify right side
    910.89x = 676,131.95
  5. Step 5: Solve for x
    x = 676,131.95/910.89
  6. Step 6: Final answer
    x = 742.28

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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.