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Finding the Fourth Proportional to 897.90, 1,238.62 and 676.46

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Solution

The fourth proportional to 897.90, 1,238.62 and 676.46 is: 933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,238.62 = 676.46 : x
  2. Step 2: Convert to fraction form
    897.90/1,238.62 = 676.46/x
  3. Step 3: Cross multiply
    897.90x = 1,238.62 × 676.46
  4. Step 4: Simplify right side
    897.90x = 837,876.89
  5. Step 5: Solve for x
    x = 837,876.89/897.90
  6. Step 6: Final answer
    x = 933.16

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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.