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Finding the Fourth Proportional to 877.69, 1,314.51 and 681.67

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Solution

The fourth proportional to 877.69, 1,314.51 and 681.67 is: 1,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.69 : 1,314.51 = 681.67 : x
  2. Step 2: Convert to fraction form
    877.69/1,314.51 = 681.67/x
  3. Step 3: Cross multiply
    877.69x = 1,314.51 × 681.67
  4. Step 4: Simplify right side
    877.69x = 896,062.03
  5. Step 5: Solve for x
    x = 896,062.03/877.69
  6. Step 6: Final answer
    x = 1,020.93

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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.