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Finding the Fourth Proportional to 910.01, 1,255.95 and 578.58

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Solution

The fourth proportional to 910.01, 1,255.95 and 578.58 is: 798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.01 : 1,255.95 = 578.58 : x
  2. Step 2: Convert to fraction form
    910.01/1,255.95 = 578.58/x
  3. Step 3: Cross multiply
    910.01x = 1,255.95 × 578.58
  4. Step 4: Simplify right side
    910.01x = 726,667.55
  5. Step 5: Solve for x
    x = 726,667.55/910.01
  6. Step 6: Final answer
    x = 798.53

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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.