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Finding the Fourth Proportional to 1,009.95, 1,515.87 and 1,004.55

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Solution

The fourth proportional to 1,009.95, 1,515.87 and 1,004.55 is: 1,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.95 : 1,515.87 = 1,004.55 : x
  2. Step 2: Convert to fraction form
    1,009.95/1,515.87 = 1,004.55/x
  3. Step 3: Cross multiply
    1,009.95x = 1,515.87 × 1,004.55
  4. Step 4: Simplify right side
    1,009.95x = 1,522,767.21
  5. Step 5: Solve for x
    x = 1,522,767.21/1,009.95
  6. Step 6: Final answer
    x = 1,507.76

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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.