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Finding the Fourth Proportional to 816.40, 1,125.12 and 594.73

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Solution

The fourth proportional to 816.40, 1,125.12 and 594.73 is: 819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.40 : 1,125.12 = 594.73 : x
  2. Step 2: Convert to fraction form
    816.40/1,125.12 = 594.73/x
  3. Step 3: Cross multiply
    816.40x = 1,125.12 × 594.73
  4. Step 4: Simplify right side
    816.40x = 669,142.62
  5. Step 5: Solve for x
    x = 669,142.62/816.40
  6. Step 6: Final answer
    x = 819.63

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Double scale
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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.