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Finding the Fourth Proportional to 896.31, 1,237.46 and 710.55

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Solution

The fourth proportional to 896.31, 1,237.46 and 710.55 is: 980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.31 : 1,237.46 = 710.55 : x
  2. Step 2: Convert to fraction form
    896.31/1,237.46 = 710.55/x
  3. Step 3: Cross multiply
    896.31x = 1,237.46 × 710.55
  4. Step 4: Simplify right side
    896.31x = 879,273.65
  5. Step 5: Solve for x
    x = 879,273.65/896.31
  6. Step 6: Final answer
    x = 980.99

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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.