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Finding the Fourth Proportional to 972.75, 1,343.35 and 832.06

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Solution

The fourth proportional to 972.75, 1,343.35 and 832.06 is: 1,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,343.35 = 832.06 : x
  2. Step 2: Convert to fraction form
    972.75/1,343.35 = 832.06/x
  3. Step 3: Cross multiply
    972.75x = 1,343.35 × 832.06
  4. Step 4: Simplify right side
    972.75x = 1,117,750.52
  5. Step 5: Solve for x
    x = 1,117,750.52/972.75
  6. Step 6: Final answer
    x = 1,149.06

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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.