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Finding the Fourth Proportional to 1,005.06, 1,507.65 and 274.57

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Solution

The fourth proportional to 1,005.06, 1,507.65 and 274.57 is: 411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.06 : 1,507.65 = 274.57 : x
  2. Step 2: Convert to fraction form
    1,005.06/1,507.65 = 274.57/x
  3. Step 3: Cross multiply
    1,005.06x = 1,507.65 × 274.57
  4. Step 4: Simplify right side
    1,005.06x = 413,955.46
  5. Step 5: Solve for x
    x = 413,955.46/1,005.06
  6. Step 6: Final answer
    x = 411.87

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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.