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Finding the Fourth Proportional to 1,021.55, 1,523.17 and 1,020.14

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Solution

The fourth proportional to 1,021.55, 1,523.17 and 1,020.14 is: 1,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.55 : 1,523.17 = 1,020.14 : x
  2. Step 2: Convert to fraction form
    1,021.55/1,523.17 = 1,020.14/x
  3. Step 3: Cross multiply
    1,021.55x = 1,523.17 × 1,020.14
  4. Step 4: Simplify right side
    1,021.55x = 1,553,846.64
  5. Step 5: Solve for x
    x = 1,553,846.64/1,021.55
  6. Step 6: Final answer
    x = 1,521.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.