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Finding the Fourth Proportional to 1,442.51, 1,990.76 and 813.11

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Solution

The fourth proportional to 1,442.51, 1,990.76 and 813.11 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.51 : 1,990.76 = 813.11 : x
  2. Step 2: Convert to fraction form
    1,442.51/1,990.76 = 813.11/x
  3. Step 3: Cross multiply
    1,442.51x = 1,990.76 × 813.11
  4. Step 4: Simplify right side
    1,442.51x = 1,618,698.94
  5. Step 5: Solve for x
    x = 1,618,698.94/1,442.51
  6. Step 6: Final answer
    x = 1,122.14

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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.