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Finding the Fourth Proportional to 1,301.02, 1,948.05 and 813.10

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Solution

The fourth proportional to 1,301.02, 1,948.05 and 813.10 is: 1,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.02 : 1,948.05 = 813.10 : x
  2. Step 2: Convert to fraction form
    1,301.02/1,948.05 = 813.10/x
  3. Step 3: Cross multiply
    1,301.02x = 1,948.05 × 813.10
  4. Step 4: Simplify right side
    1,301.02x = 1,583,959.46
  5. Step 5: Solve for x
    x = 1,583,959.46/1,301.02
  6. Step 6: Final answer
    x = 1,217.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.