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Finding the Fourth Proportional to 813.12, 1,121.25 and 614.41

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Solution

The fourth proportional to 813.12, 1,121.25 and 614.41 is: 847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.12 : 1,121.25 = 614.41 : x
  2. Step 2: Convert to fraction form
    813.12/1,121.25 = 614.41/x
  3. Step 3: Cross multiply
    813.12x = 1,121.25 × 614.41
  4. Step 4: Simplify right side
    813.12x = 688,907.21
  5. Step 5: Solve for x
    x = 688,907.21/813.12
  6. Step 6: Final answer
    x = 847.24

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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.