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Finding the Fourth Proportional to 1,021.83, 1,530.12 and 674.11

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Solution

The fourth proportional to 1,021.83, 1,530.12 and 674.11 is: 1,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.83 : 1,530.12 = 674.11 : x
  2. Step 2: Convert to fraction form
    1,021.83/1,530.12 = 674.11/x
  3. Step 3: Cross multiply
    1,021.83x = 1,530.12 × 674.11
  4. Step 4: Simplify right side
    1,021.83x = 1,031,473.63
  5. Step 5: Solve for x
    x = 1,031,473.63/1,021.83
  6. Step 6: Final answer
    x = 1,009.44

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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.