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Finding the Fourth Proportional to 794.81, 1,096.74 and 542.90

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Solution

The fourth proportional to 794.81, 1,096.74 and 542.90 is: 749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.81 : 1,096.74 = 542.90 : x
  2. Step 2: Convert to fraction form
    794.81/1,096.74 = 542.90/x
  3. Step 3: Cross multiply
    794.81x = 1,096.74 × 542.90
  4. Step 4: Simplify right side
    794.81x = 595,422.89
  5. Step 5: Solve for x
    x = 595,422.89/794.81
  6. Step 6: Final answer
    x = 749.14

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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.