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Finding the Fourth Proportional to 1,023.61, 1,538.49 and 678.11

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Solution

The fourth proportional to 1,023.61, 1,538.49 and 678.11 is: 1,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.61 : 1,538.49 = 678.11 : x
  2. Step 2: Convert to fraction form
    1,023.61/1,538.49 = 678.11/x
  3. Step 3: Cross multiply
    1,023.61x = 1,538.49 × 678.11
  4. Step 4: Simplify right side
    1,023.61x = 1,043,265.45
  5. Step 5: Solve for x
    x = 1,043,265.45/1,023.61
  6. Step 6: Final answer
    x = 1,019.21

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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.