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Finding the Fourth Proportional to 470, 651.38 and 462.80

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Solution

The fourth proportional to 470, 651.38 and 462.80 is: 641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470 : 651.38 = 462.80 : x
  2. Step 2: Convert to fraction form
    470/651.38 = 462.80/x
  3. Step 3: Cross multiply
    470x = 651.38 × 462.80
  4. Step 4: Simplify right side
    470x = 301,458.66
  5. Step 5: Solve for x
    x = 301,458.66/470
  6. Step 6: Final answer
    x = 641.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.