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Finding the Fourth Proportional to 460.65, 694.43 and 430.10

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Solution

The fourth proportional to 460.65, 694.43 and 430.10 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.65 : 694.43 = 430.10 : x
  2. Step 2: Convert to fraction form
    460.65/694.43 = 430.10/x
  3. Step 3: Cross multiply
    460.65x = 694.43 × 430.10
  4. Step 4: Simplify right side
    460.65x = 298,668.72
  5. Step 5: Solve for x
    x = 298,668.72/460.65
  6. Step 6: Final answer
    x = 648.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.