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Finding the Fourth Proportional to 1,021.85, 1,530.72 and 674.33

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Solution

The fourth proportional to 1,021.85, 1,530.72 and 674.33 is: 1,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.85 : 1,530.72 = 674.33 : x
  2. Step 2: Convert to fraction form
    1,021.85/1,530.72 = 674.33/x
  3. Step 3: Cross multiply
    1,021.85x = 1,530.72 × 674.33
  4. Step 4: Simplify right side
    1,021.85x = 1,032,210.42
  5. Step 5: Solve for x
    x = 1,032,210.42/1,021.85
  6. Step 6: Final answer
    x = 1,010.14

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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.