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Finding the Fourth Proportional to 465.06, 693.65 and 392.42

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Solution

The fourth proportional to 465.06, 693.65 and 392.42 is: 585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 693.65 = 392.42 : x
  2. Step 2: Convert to fraction form
    465.06/693.65 = 392.42/x
  3. Step 3: Cross multiply
    465.06x = 693.65 × 392.42
  4. Step 4: Simplify right side
    465.06x = 272,202.13
  5. Step 5: Solve for x
    x = 272,202.13/465.06
  6. Step 6: Final answer
    x = 585.31

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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.