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Finding the Fourth Proportional to 897.67, 1,347.42 and 604.25

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Solution

The fourth proportional to 897.67, 1,347.42 and 604.25 is: 906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.67 : 1,347.42 = 604.25 : x
  2. Step 2: Convert to fraction form
    897.67/1,347.42 = 604.25/x
  3. Step 3: Cross multiply
    897.67x = 1,347.42 × 604.25
  4. Step 4: Simplify right side
    897.67x = 814,178.54
  5. Step 5: Solve for x
    x = 814,178.54/897.67
  6. Step 6: Final answer
    x = 906.99

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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.