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Finding the Fourth Proportional to 877.81, 1,316.71 and 824.35

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Solution

The fourth proportional to 877.81, 1,316.71 and 824.35 is: 1,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.81 : 1,316.71 = 824.35 : x
  2. Step 2: Convert to fraction form
    877.81/1,316.71 = 824.35/x
  3. Step 3: Cross multiply
    877.81x = 1,316.71 × 824.35
  4. Step 4: Simplify right side
    877.81x = 1,085,427.63
  5. Step 5: Solve for x
    x = 1,085,427.63/877.81
  6. Step 6: Final answer
    x = 1,236.52

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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.