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Finding the Fourth Proportional to 803.81, 1,109.96 and 542.58

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Solution

The fourth proportional to 803.81, 1,109.96 and 542.58 is: 749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.81 : 1,109.96 = 542.58 : x
  2. Step 2: Convert to fraction form
    803.81/1,109.96 = 542.58/x
  3. Step 3: Cross multiply
    803.81x = 1,109.96 × 542.58
  4. Step 4: Simplify right side
    803.81x = 602,239.38
  5. Step 5: Solve for x
    x = 602,239.38/803.81
  6. Step 6: Final answer
    x = 749.24

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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.