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Finding the Fourth Proportional to 568.74, 851.49 and 432.34

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Solution

The fourth proportional to 568.74, 851.49 and 432.34 is: 647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.74 : 851.49 = 432.34 : x
  2. Step 2: Convert to fraction form
    568.74/851.49 = 432.34/x
  3. Step 3: Cross multiply
    568.74x = 851.49 × 432.34
  4. Step 4: Simplify right side
    568.74x = 368,133.19
  5. Step 5: Solve for x
    x = 368,133.19/568.74
  6. Step 6: Final answer
    x = 647.28

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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.