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Finding the Fourth Proportional to 1,005.22, 1,507.71 and 274.86

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Solution

The fourth proportional to 1,005.22, 1,507.71 and 274.86 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.22 : 1,507.71 = 274.86 : x
  2. Step 2: Convert to fraction form
    1,005.22/1,507.71 = 274.86/x
  3. Step 3: Cross multiply
    1,005.22x = 1,507.71 × 274.86
  4. Step 4: Simplify right side
    1,005.22x = 414,409.17
  5. Step 5: Solve for x
    x = 414,409.17/1,005.22
  6. Step 6: Final answer
    x = 412.26

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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.