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Finding the Fourth Proportional to 877.40, 1,309.10 and 795.39

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Solution

The fourth proportional to 877.40, 1,309.10 and 795.39 is: 1,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.40 : 1,309.10 = 795.39 : x
  2. Step 2: Convert to fraction form
    877.40/1,309.10 = 795.39/x
  3. Step 3: Cross multiply
    877.40x = 1,309.10 × 795.39
  4. Step 4: Simplify right side
    877.40x = 1,041,236.16
  5. Step 5: Solve for x
    x = 1,041,236.16/877.40
  6. Step 6: Final answer
    x = 1,186.73

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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.