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Finding the Fourth Proportional to 897.79, 1,237.73 and 674.06

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Solution

The fourth proportional to 897.79, 1,237.73 and 674.06 is: 929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.79 : 1,237.73 = 674.06 : x
  2. Step 2: Convert to fraction form
    897.79/1,237.73 = 674.06/x
  3. Step 3: Cross multiply
    897.79x = 1,237.73 × 674.06
  4. Step 4: Simplify right side
    897.79x = 834,304.28
  5. Step 5: Solve for x
    x = 834,304.28/897.79
  6. Step 6: Final answer
    x = 929.29

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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.