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Finding the Fourth Proportional to 876.63, 1,209.56 and 527.43

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Solution

The fourth proportional to 876.63, 1,209.56 and 527.43 is: 727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.63 : 1,209.56 = 527.43 : x
  2. Step 2: Convert to fraction form
    876.63/1,209.56 = 527.43/x
  3. Step 3: Cross multiply
    876.63x = 1,209.56 × 527.43
  4. Step 4: Simplify right side
    876.63x = 637,955.59
  5. Step 5: Solve for x
    x = 637,955.59/876.63
  6. Step 6: Final answer
    x = 727.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.