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Finding the Fourth Proportional to 909.95, 1,255.53 and 578.79

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Solution

The fourth proportional to 909.95, 1,255.53 and 578.79 is: 798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.95 : 1,255.53 = 578.79 : x
  2. Step 2: Convert to fraction form
    909.95/1,255.53 = 578.79/x
  3. Step 3: Cross multiply
    909.95x = 1,255.53 × 578.79
  4. Step 4: Simplify right side
    909.95x = 726,688.21
  5. Step 5: Solve for x
    x = 726,688.21/909.95
  6. Step 6: Final answer
    x = 798.61

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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.