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Finding the Fourth Proportional to 1,291.72, 1,937.74 and 470.38

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Solution

The fourth proportional to 1,291.72, 1,937.74 and 470.38 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.72 : 1,937.74 = 470.38 : x
  2. Step 2: Convert to fraction form
    1,291.72/1,937.74 = 470.38/x
  3. Step 3: Cross multiply
    1,291.72x = 1,937.74 × 470.38
  4. Step 4: Simplify right side
    1,291.72x = 911,474.14
  5. Step 5: Solve for x
    x = 911,474.14/1,291.72
  6. Step 6: Final answer
    x = 705.63

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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.