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Finding the Fourth Proportional to 810.12, 1,205.48 and 807.39

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Solution

The fourth proportional to 810.12, 1,205.48 and 807.39 is: 1,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.12 : 1,205.48 = 807.39 : x
  2. Step 2: Convert to fraction form
    810.12/1,205.48 = 807.39/x
  3. Step 3: Cross multiply
    810.12x = 1,205.48 × 807.39
  4. Step 4: Simplify right side
    810.12x = 973,294.52
  5. Step 5: Solve for x
    x = 973,294.52/810.12
  6. Step 6: Final answer
    x = 1,201.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.