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Finding the Fourth Proportional to 896.65, 1,237.32 and 601.87

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Solution

The fourth proportional to 896.65, 1,237.32 and 601.87 is: 830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.65 : 1,237.32 = 601.87 : x
  2. Step 2: Convert to fraction form
    896.65/1,237.32 = 601.87/x
  3. Step 3: Cross multiply
    896.65x = 1,237.32 × 601.87
  4. Step 4: Simplify right side
    896.65x = 744,702.78
  5. Step 5: Solve for x
    x = 744,702.78/896.65
  6. Step 6: Final answer
    x = 830.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.