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Finding the Fourth Proportional to 608.89, 912.48 and 392.08

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Solution

The fourth proportional to 608.89, 912.48 and 392.08 is: 587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.89 : 912.48 = 392.08 : x
  2. Step 2: Convert to fraction form
    608.89/912.48 = 392.08/x
  3. Step 3: Cross multiply
    608.89x = 912.48 × 392.08
  4. Step 4: Simplify right side
    608.89x = 357,765.16
  5. Step 5: Solve for x
    x = 357,765.16/608.89
  6. Step 6: Final answer
    x = 587.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.