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Finding the Fourth Proportional to 909.34, 1,255.26 and 594.85

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Solution

The fourth proportional to 909.34, 1,255.26 and 594.85 is: 821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.34 : 1,255.26 = 594.85 : x
  2. Step 2: Convert to fraction form
    909.34/1,255.26 = 594.85/x
  3. Step 3: Cross multiply
    909.34x = 1,255.26 × 594.85
  4. Step 4: Simplify right side
    909.34x = 746,691.41
  5. Step 5: Solve for x
    x = 746,691.41/909.34
  6. Step 6: Final answer
    x = 821.14

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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.