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Finding the Fourth Proportional to 952.32, 1,312.88 and 931.62

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Solution

The fourth proportional to 952.32, 1,312.88 and 931.62 is: 1,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.32 : 1,312.88 = 931.62 : x
  2. Step 2: Convert to fraction form
    952.32/1,312.88 = 931.62/x
  3. Step 3: Cross multiply
    952.32x = 1,312.88 × 931.62
  4. Step 4: Simplify right side
    952.32x = 1,223,105.27
  5. Step 5: Solve for x
    x = 1,223,105.27/952.32
  6. Step 6: Final answer
    x = 1,284.34

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1.5x scale

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.