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Finding the Fourth Proportional to 608.70, 912.90 and 175.89

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Solution

The fourth proportional to 608.70, 912.90 and 175.89 is: 263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.70 : 912.90 = 175.89 : x
  2. Step 2: Convert to fraction form
    608.70/912.90 = 175.89/x
  3. Step 3: Cross multiply
    608.70x = 912.90 × 175.89
  4. Step 4: Simplify right side
    608.70x = 160,569.98
  5. Step 5: Solve for x
    x = 160,569.98/608.70
  6. Step 6: Final answer
    x = 263.79

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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.