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Finding the Fourth Proportional to 877.27, 1,315.67 and 260.81

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Solution

The fourth proportional to 877.27, 1,315.67 and 260.81 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.27 : 1,315.67 = 260.81 : x
  2. Step 2: Convert to fraction form
    877.27/1,315.67 = 260.81/x
  3. Step 3: Cross multiply
    877.27x = 1,315.67 × 260.81
  4. Step 4: Simplify right side
    877.27x = 343,133.31
  5. Step 5: Solve for x
    x = 343,133.31/877.27
  6. Step 6: Final answer
    x = 391.14

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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.