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Finding the Fourth Proportional to 468.64, 699.49 and 432.06

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Solution

The fourth proportional to 468.64, 699.49 and 432.06 is: 644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 699.49 = 432.06 : x
  2. Step 2: Convert to fraction form
    468.64/699.49 = 432.06/x
  3. Step 3: Cross multiply
    468.64x = 699.49 × 432.06
  4. Step 4: Simplify right side
    468.64x = 302,221.65
  5. Step 5: Solve for x
    x = 302,221.65/468.64
  6. Step 6: Final answer
    x = 644.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.