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Finding the Fourth Proportional to 1,020.51, 1,535.08 and 921.15

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Solution

The fourth proportional to 1,020.51, 1,535.08 and 921.15 is: 1,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.51 : 1,535.08 = 921.15 : x
  2. Step 2: Convert to fraction form
    1,020.51/1,535.08 = 921.15/x
  3. Step 3: Cross multiply
    1,020.51x = 1,535.08 × 921.15
  4. Step 4: Simplify right side
    1,020.51x = 1,414,028.96
  5. Step 5: Solve for x
    x = 1,414,028.96/1,020.51
  6. Step 6: Final answer
    x = 1,385.62

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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.