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Finding the Fourth Proportional to 876.53, 1,209.51 and 540.38

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Solution

The fourth proportional to 876.53, 1,209.51 and 540.38 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.53 : 1,209.51 = 540.38 : x
  2. Step 2: Convert to fraction form
    876.53/1,209.51 = 540.38/x
  3. Step 3: Cross multiply
    876.53x = 1,209.51 × 540.38
  4. Step 4: Simplify right side
    876.53x = 653,588.97
  5. Step 5: Solve for x
    x = 653,588.97/876.53
  6. Step 6: Final answer
    x = 745.66

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1.5x scale

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.