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Finding the Fourth Proportional to 877.13, 1,310.60 and 664.66

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Solution

The fourth proportional to 877.13, 1,310.60 and 664.66 is: 993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.13 : 1,310.60 = 664.66 : x
  2. Step 2: Convert to fraction form
    877.13/1,310.60 = 664.66/x
  3. Step 3: Cross multiply
    877.13x = 1,310.60 × 664.66
  4. Step 4: Simplify right side
    877.13x = 871,106.70
  5. Step 5: Solve for x
    x = 871,106.70/877.13
  6. Step 6: Final answer
    x = 993.13

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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.