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Finding the Fourth Proportional to 972.84, 1,343.26 and 600.34

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Solution

The fourth proportional to 972.84, 1,343.26 and 600.34 is: 828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 1,343.26 = 600.34 : x
  2. Step 2: Convert to fraction form
    972.84/1,343.26 = 600.34/x
  3. Step 3: Cross multiply
    972.84x = 1,343.26 × 600.34
  4. Step 4: Simplify right side
    972.84x = 806,412.71
  5. Step 5: Solve for x
    x = 806,412.71/972.84
  6. Step 6: Final answer
    x = 828.93

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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.