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Finding the Fourth Proportional to 464.40, 693.24 and 430.62

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Solution

The fourth proportional to 464.40, 693.24 and 430.62 is: 642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 693.24 = 430.62 : x
  2. Step 2: Convert to fraction form
    464.40/693.24 = 430.62/x
  3. Step 3: Cross multiply
    464.40x = 693.24 × 430.62
  4. Step 4: Simplify right side
    464.40x = 298,523.01
  5. Step 5: Solve for x
    x = 298,523.01/464.40
  6. Step 6: Final answer
    x = 642.81

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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.