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Finding the Fourth Proportional to 972.96, 1,337.74 and 867.06

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Solution

The fourth proportional to 972.96, 1,337.74 and 867.06 is: 1,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.96 : 1,337.74 = 867.06 : x
  2. Step 2: Convert to fraction form
    972.96/1,337.74 = 867.06/x
  3. Step 3: Cross multiply
    972.96x = 1,337.74 × 867.06
  4. Step 4: Simplify right side
    972.96x = 1,159,900.84
  5. Step 5: Solve for x
    x = 1,159,900.84/972.96
  6. Step 6: Final answer
    x = 1,192.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.