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Finding the Fourth Proportional to 945.98, 1,419.12 and 880.76

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Solution

The fourth proportional to 945.98, 1,419.12 and 880.76 is: 1,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.98 : 1,419.12 = 880.76 : x
  2. Step 2: Convert to fraction form
    945.98/1,419.12 = 880.76/x
  3. Step 3: Cross multiply
    945.98x = 1,419.12 × 880.76
  4. Step 4: Simplify right side
    945.98x = 1,249,904.13
  5. Step 5: Solve for x
    x = 1,249,904.13/945.98
  6. Step 6: Final answer
    x = 1,321.28

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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.