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Finding the Fourth Proportional to 464.28, 693.03 and 430.02

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Solution

The fourth proportional to 464.28, 693.03 and 430.02 is: 641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.28 : 693.03 = 430.02 : x
  2. Step 2: Convert to fraction form
    464.28/693.03 = 430.02/x
  3. Step 3: Cross multiply
    464.28x = 693.03 × 430.02
  4. Step 4: Simplify right side
    464.28x = 298,016.76
  5. Step 5: Solve for x
    x = 298,016.76/464.28
  6. Step 6: Final answer
    x = 641.89

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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.