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Finding the Fourth Proportional to 801.57, 1,106.41 and 507.01

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Solution

The fourth proportional to 801.57, 1,106.41 and 507.01 is: 699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.57 : 1,106.41 = 507.01 : x
  2. Step 2: Convert to fraction form
    801.57/1,106.41 = 507.01/x
  3. Step 3: Cross multiply
    801.57x = 1,106.41 × 507.01
  4. Step 4: Simplify right side
    801.57x = 560,959.93
  5. Step 5: Solve for x
    x = 560,959.93/801.57
  6. Step 6: Final answer
    x = 699.83

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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.