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Finding the Fourth Proportional to 897.34, 1,238.46 and 675.94

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Solution

The fourth proportional to 897.34, 1,238.46 and 675.94 is: 932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.34 : 1,238.46 = 675.94 : x
  2. Step 2: Convert to fraction form
    897.34/1,238.46 = 675.94/x
  3. Step 3: Cross multiply
    897.34x = 1,238.46 × 675.94
  4. Step 4: Simplify right side
    897.34x = 837,124.65
  5. Step 5: Solve for x
    x = 837,124.65/897.34
  6. Step 6: Final answer
    x = 932.90

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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.