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Finding the Fourth Proportional to 674.28, 1,009.78 and 597.32

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Solution

The fourth proportional to 674.28, 1,009.78 and 597.32 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.28 : 1,009.78 = 597.32 : x
  2. Step 2: Convert to fraction form
    674.28/1,009.78 = 597.32/x
  3. Step 3: Cross multiply
    674.28x = 1,009.78 × 597.32
  4. Step 4: Simplify right side
    674.28x = 603,161.79
  5. Step 5: Solve for x
    x = 603,161.79/674.28
  6. Step 6: Final answer
    x = 894.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.