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Finding the Fourth Proportional to 790.84, 1,090.96 and 542.17

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Solution

The fourth proportional to 790.84, 1,090.96 and 542.17 is: 747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.84 : 1,090.96 = 542.17 : x
  2. Step 2: Convert to fraction form
    790.84/1,090.96 = 542.17/x
  3. Step 3: Cross multiply
    790.84x = 1,090.96 × 542.17
  4. Step 4: Simplify right side
    790.84x = 591,485.78
  5. Step 5: Solve for x
    x = 591,485.78/790.84
  6. Step 6: Final answer
    x = 747.92

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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.