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Finding the Fourth Proportional to 909.25, 1,255.78 and 614

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Solution

The fourth proportional to 909.25, 1,255.78 and 614 is: 848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.25 : 1,255.78 = 614 : x
  2. Step 2: Convert to fraction form
    909.25/1,255.78 = 614/x
  3. Step 3: Cross multiply
    909.25x = 1,255.78 × 614
  4. Step 4: Simplify right side
    909.25x = 771,048.92
  5. Step 5: Solve for x
    x = 771,048.92/909.25
  6. Step 6: Final answer
    x = 848.01

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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.