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Finding the Fourth Proportional to 431.76, 647.08 and 175.12

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Solution

The fourth proportional to 431.76, 647.08 and 175.12 is: 262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 647.08 = 175.12 : x
  2. Step 2: Convert to fraction form
    431.76/647.08 = 175.12/x
  3. Step 3: Cross multiply
    431.76x = 647.08 × 175.12
  4. Step 4: Simplify right side
    431.76x = 113,316.65
  5. Step 5: Solve for x
    x = 113,316.65/431.76
  6. Step 6: Final answer
    x = 262.45

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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.