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Finding the Fourth Proportional to 1,145.95, 1,722.87 and 1,002.58

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Solution

The fourth proportional to 1,145.95, 1,722.87 and 1,002.58 is: 1,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.95 : 1,722.87 = 1,002.58 : x
  2. Step 2: Convert to fraction form
    1,145.95/1,722.87 = 1,002.58/x
  3. Step 3: Cross multiply
    1,145.95x = 1,722.87 × 1,002.58
  4. Step 4: Simplify right side
    1,145.95x = 1,727,310.70
  5. Step 5: Solve for x
    x = 1,727,310.70/1,145.95
  6. Step 6: Final answer
    x = 1,507.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.