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Finding the Fourth Proportional to 955.83, 1,431.78 and 876.10

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Solution

The fourth proportional to 955.83, 1,431.78 and 876.10 is: 1,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.83 : 1,431.78 = 876.10 : x
  2. Step 2: Convert to fraction form
    955.83/1,431.78 = 876.10/x
  3. Step 3: Cross multiply
    955.83x = 1,431.78 × 876.10
  4. Step 4: Simplify right side
    955.83x = 1,254,382.46
  5. Step 5: Solve for x
    x = 1,254,382.46/955.83
  6. Step 6: Final answer
    x = 1,312.35

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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.