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Finding the Fourth Proportional to 465.17, 693.84 and 423.65

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Solution

The fourth proportional to 465.17, 693.84 and 423.65 is: 631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.17 : 693.84 = 423.65 : x
  2. Step 2: Convert to fraction form
    465.17/693.84 = 423.65/x
  3. Step 3: Cross multiply
    465.17x = 693.84 × 423.65
  4. Step 4: Simplify right side
    465.17x = 293,941.85
  5. Step 5: Solve for x
    x = 293,941.85/465.17
  6. Step 6: Final answer
    x = 631.91

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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.