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Finding the Fourth Proportional to 876.11, 1,209.19 and 561.51

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Solution

The fourth proportional to 876.11, 1,209.19 and 561.51 is: 774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.11 : 1,209.19 = 561.51 : x
  2. Step 2: Convert to fraction form
    876.11/1,209.19 = 561.51/x
  3. Step 3: Cross multiply
    876.11x = 1,209.19 × 561.51
  4. Step 4: Simplify right side
    876.11x = 678,972.98
  5. Step 5: Solve for x
    x = 678,972.98/876.11
  6. Step 6: Final answer
    x = 774.99

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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.