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Finding the Fourth Proportional to 647.97, 894.33 and 426.93

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Solution

The fourth proportional to 647.97, 894.33 and 426.93 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.97 : 894.33 = 426.93 : x
  2. Step 2: Convert to fraction form
    647.97/894.33 = 426.93/x
  3. Step 3: Cross multiply
    647.97x = 894.33 × 426.93
  4. Step 4: Simplify right side
    647.97x = 381,816.31
  5. Step 5: Solve for x
    x = 381,816.31/647.97
  6. Step 6: Final answer
    x = 589.25

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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.