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Finding the Fourth Proportional to 800.40, 1,123.80 and 800.40

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Solution

The fourth proportional to 800.40, 1,123.80 and 800.40 is: 1,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.40 : 1,123.80 = 800.40 : x
  2. Step 2: Convert to fraction form
    800.40/1,123.80 = 800.40/x
  3. Step 3: Cross multiply
    800.40x = 1,123.80 × 800.40
  4. Step 4: Simplify right side
    800.40x = 899,489.52
  5. Step 5: Solve for x
    x = 899,489.52/800.40
  6. Step 6: Final answer
    x = 1,123.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.