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Finding the Fourth Proportional to 1,090.78, 1,634.72 and 542.81

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Solution

The fourth proportional to 1,090.78, 1,634.72 and 542.81 is: 813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.78 : 1,634.72 = 542.81 : x
  2. Step 2: Convert to fraction form
    1,090.78/1,634.72 = 542.81/x
  3. Step 3: Cross multiply
    1,090.78x = 1,634.72 × 542.81
  4. Step 4: Simplify right side
    1,090.78x = 887,343.74
  5. Step 5: Solve for x
    x = 887,343.74/1,090.78
  6. Step 6: Final answer
    x = 813.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.