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Finding the Fourth Proportional to 949.88, 1,417.90 and 872.84

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Solution

The fourth proportional to 949.88, 1,417.90 and 872.84 is: 1,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.88 : 1,417.90 = 872.84 : x
  2. Step 2: Convert to fraction form
    949.88/1,417.90 = 872.84/x
  3. Step 3: Cross multiply
    949.88x = 1,417.90 × 872.84
  4. Step 4: Simplify right side
    949.88x = 1,237,599.84
  5. Step 5: Solve for x
    x = 1,237,599.84/949.88
  6. Step 6: Final answer
    x = 1,302.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.