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Finding the Fourth Proportional to 922.48, 1,273.29 and 607.98

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Solution

The fourth proportional to 922.48, 1,273.29 and 607.98 is: 839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.48 : 1,273.29 = 607.98 : x
  2. Step 2: Convert to fraction form
    922.48/1,273.29 = 607.98/x
  3. Step 3: Cross multiply
    922.48x = 1,273.29 × 607.98
  4. Step 4: Simplify right side
    922.48x = 774,134.85
  5. Step 5: Solve for x
    x = 774,134.85/922.48
  6. Step 6: Final answer
    x = 839.19

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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.