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Finding the Fourth Proportional to 1,017.99, 1,534.05 and 920.55

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Solution

The fourth proportional to 1,017.99, 1,534.05 and 920.55 is: 1,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.99 : 1,534.05 = 920.55 : x
  2. Step 2: Convert to fraction form
    1,017.99/1,534.05 = 920.55/x
  3. Step 3: Cross multiply
    1,017.99x = 1,534.05 × 920.55
  4. Step 4: Simplify right side
    1,017.99x = 1,412,169.73
  5. Step 5: Solve for x
    x = 1,412,169.73/1,017.99
  6. Step 6: Final answer
    x = 1,387.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.