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Finding the Fourth Proportional to 1,090.30, 1,636.12 and 542.52

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Solution

The fourth proportional to 1,090.30, 1,636.12 and 542.52 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.30 : 1,636.12 = 542.52 : x
  2. Step 2: Convert to fraction form
    1,090.30/1,636.12 = 542.52/x
  3. Step 3: Cross multiply
    1,090.30x = 1,636.12 × 542.52
  4. Step 4: Simplify right side
    1,090.30x = 887,627.82
  5. Step 5: Solve for x
    x = 887,627.82/1,090.30
  6. Step 6: Final answer
    x = 814.11

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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.