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Finding the Fourth Proportional to 877.12, 1,316.46 and 784.42

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Solution

The fourth proportional to 877.12, 1,316.46 and 784.42 is: 1,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.12 : 1,316.46 = 784.42 : x
  2. Step 2: Convert to fraction form
    877.12/1,316.46 = 784.42/x
  3. Step 3: Cross multiply
    877.12x = 1,316.46 × 784.42
  4. Step 4: Simplify right side
    877.12x = 1,032,657.55
  5. Step 5: Solve for x
    x = 1,032,657.55/877.12
  6. Step 6: Final answer
    x = 1,177.33

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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.