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Finding the Fourth Proportional to 908.78, 1,254.38 and 614.75

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Solution

The fourth proportional to 908.78, 1,254.38 and 614.75 is: 848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.78 : 1,254.38 = 614.75 : x
  2. Step 2: Convert to fraction form
    908.78/1,254.38 = 614.75/x
  3. Step 3: Cross multiply
    908.78x = 1,254.38 × 614.75
  4. Step 4: Simplify right side
    908.78x = 771,130.11
  5. Step 5: Solve for x
    x = 771,130.11/908.78
  6. Step 6: Final answer
    x = 848.53

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Double scale
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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.