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Finding the Fourth Proportional to 910.56, 1,256.16 and 616.08

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Solution

The fourth proportional to 910.56, 1,256.16 and 616.08 is: 849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.56 : 1,256.16 = 616.08 : x
  2. Step 2: Convert to fraction form
    910.56/1,256.16 = 616.08/x
  3. Step 3: Cross multiply
    910.56x = 1,256.16 × 616.08
  4. Step 4: Simplify right side
    910.56x = 773,895.05
  5. Step 5: Solve for x
    x = 773,895.05/910.56
  6. Step 6: Final answer
    x = 849.91

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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.