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Finding the Fourth Proportional to 909.39, 1,254.78 and 577.56

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Solution

The fourth proportional to 909.39, 1,254.78 and 577.56 is: 796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.39 : 1,254.78 = 577.56 : x
  2. Step 2: Convert to fraction form
    909.39/1,254.78 = 577.56/x
  3. Step 3: Cross multiply
    909.39x = 1,254.78 × 577.56
  4. Step 4: Simplify right side
    909.39x = 724,710.74
  5. Step 5: Solve for x
    x = 724,710.74/909.39
  6. Step 6: Final answer
    x = 796.92

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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.