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Finding the Fourth Proportional to 910.75, 1,256.02 and 616.42

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Solution

The fourth proportional to 910.75, 1,256.02 and 616.42 is: 850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.75 : 1,256.02 = 616.42 : x
  2. Step 2: Convert to fraction form
    910.75/1,256.02 = 616.42/x
  3. Step 3: Cross multiply
    910.75x = 1,256.02 × 616.42
  4. Step 4: Simplify right side
    910.75x = 774,226.49
  5. Step 5: Solve for x
    x = 774,226.49/910.75
  6. Step 6: Final answer
    x = 850.10

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1.5x scale

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.