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Finding the Fourth Proportional to 909.75, 1,256.47 and 614.50

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Solution

The fourth proportional to 909.75, 1,256.47 and 614.50 is: 848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.75 : 1,256.47 = 614.50 : x
  2. Step 2: Convert to fraction form
    909.75/1,256.47 = 614.50/x
  3. Step 3: Cross multiply
    909.75x = 1,256.47 × 614.50
  4. Step 4: Simplify right side
    909.75x = 772,100.82
  5. Step 5: Solve for x
    x = 772,100.82/909.75
  6. Step 6: Final answer
    x = 848.70

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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.