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Finding the Fourth Proportional to 464.90, 693.71 and 462.20

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Solution

The fourth proportional to 464.90, 693.71 and 462.20 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 693.71 = 462.20 : x
  2. Step 2: Convert to fraction form
    464.90/693.71 = 462.20/x
  3. Step 3: Cross multiply
    464.90x = 693.71 × 462.20
  4. Step 4: Simplify right side
    464.90x = 320,632.76
  5. Step 5: Solve for x
    x = 320,632.76/464.90
  6. Step 6: Final answer
    x = 689.68

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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.