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Finding the Fourth Proportional to 1,292.45, 1,937.49 and 470.54

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Solution

The fourth proportional to 1,292.45, 1,937.49 and 470.54 is: 705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.45 : 1,937.49 = 470.54 : x
  2. Step 2: Convert to fraction form
    1,292.45/1,937.49 = 470.54/x
  3. Step 3: Cross multiply
    1,292.45x = 1,937.49 × 470.54
  4. Step 4: Simplify right side
    1,292.45x = 911,656.86
  5. Step 5: Solve for x
    x = 911,656.86/1,292.45
  6. Step 6: Final answer
    x = 705.37

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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.