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Finding the Fourth Proportional to 1,271.46, 1,907.28 and 405.75

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Solution

The fourth proportional to 1,271.46, 1,907.28 and 405.75 is: 608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.46 : 1,907.28 = 405.75 : x
  2. Step 2: Convert to fraction form
    1,271.46/1,907.28 = 405.75/x
  3. Step 3: Cross multiply
    1,271.46x = 1,907.28 × 405.75
  4. Step 4: Simplify right side
    1,271.46x = 773,878.86
  5. Step 5: Solve for x
    x = 773,878.86/1,271.46
  6. Step 6: Final answer
    x = 608.65

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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.