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Finding the Fourth Proportional to 813.46, 1,123.20 and 578.36

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Solution

The fourth proportional to 813.46, 1,123.20 and 578.36 is: 798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.46 : 1,123.20 = 578.36 : x
  2. Step 2: Convert to fraction form
    813.46/1,123.20 = 578.36/x
  3. Step 3: Cross multiply
    813.46x = 1,123.20 × 578.36
  4. Step 4: Simplify right side
    813.46x = 649,613.95
  5. Step 5: Solve for x
    x = 649,613.95/813.46
  6. Step 6: Final answer
    x = 798.58

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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.