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Finding the Fourth Proportional to 813.82, 1,123.07 and 440.80

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Solution

The fourth proportional to 813.82, 1,123.07 and 440.80 is: 608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.82 : 1,123.07 = 440.80 : x
  2. Step 2: Convert to fraction form
    813.82/1,123.07 = 440.80/x
  3. Step 3: Cross multiply
    813.82x = 1,123.07 × 440.80
  4. Step 4: Simplify right side
    813.82x = 495,041.44
  5. Step 5: Solve for x
    x = 495,041.44/813.82
  6. Step 6: Final answer
    x = 608.30

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Half scale
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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.