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Finding the Fourth Proportional to 813.02, 1,120.10 and 638.06

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Solution

The fourth proportional to 813.02, 1,120.10 and 638.06 is: 879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.02 : 1,120.10 = 638.06 : x
  2. Step 2: Convert to fraction form
    813.02/1,120.10 = 638.06/x
  3. Step 3: Cross multiply
    813.02x = 1,120.10 × 638.06
  4. Step 4: Simplify right side
    813.02x = 714,691.01
  5. Step 5: Solve for x
    x = 714,691.01/813.02
  6. Step 6: Final answer
    x = 879.06

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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.