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Finding the Fourth Proportional to 952.64, 1,312.80 and 676.16

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Solution

The fourth proportional to 952.64, 1,312.80 and 676.16 is: 931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.64 : 1,312.80 = 676.16 : x
  2. Step 2: Convert to fraction form
    952.64/1,312.80 = 676.16/x
  3. Step 3: Cross multiply
    952.64x = 1,312.80 × 676.16
  4. Step 4: Simplify right side
    952.64x = 887,662.85
  5. Step 5: Solve for x
    x = 887,662.85/952.64
  6. Step 6: Final answer
    x = 931.79

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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.