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Finding the Fourth Proportional to 464.16, 693.40 and 430.24

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Solution

The fourth proportional to 464.16, 693.40 and 430.24 is: 642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 693.40 = 430.24 : x
  2. Step 2: Convert to fraction form
    464.16/693.40 = 430.24/x
  3. Step 3: Cross multiply
    464.16x = 693.40 × 430.24
  4. Step 4: Simplify right side
    464.16x = 298,328.42
  5. Step 5: Solve for x
    x = 298,328.42/464.16
  6. Step 6: Final answer
    x = 642.73

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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.