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Finding the Fourth Proportional to 877.64, 1,316.66 and 261.32

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Solution

The fourth proportional to 877.64, 1,316.66 and 261.32 is: 392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.64 : 1,316.66 = 261.32 : x
  2. Step 2: Convert to fraction form
    877.64/1,316.66 = 261.32/x
  3. Step 3: Cross multiply
    877.64x = 1,316.66 × 261.32
  4. Step 4: Simplify right side
    877.64x = 344,061.70
  5. Step 5: Solve for x
    x = 344,061.70/877.64
  6. Step 6: Final answer
    x = 392.03

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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.