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Finding the Fourth Proportional to 1,285.52, 1,923.95 and 736.88

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Solution

The fourth proportional to 1,285.52, 1,923.95 and 736.88 is: 1,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.52 : 1,923.95 = 736.88 : x
  2. Step 2: Convert to fraction form
    1,285.52/1,923.95 = 736.88/x
  3. Step 3: Cross multiply
    1,285.52x = 1,923.95 × 736.88
  4. Step 4: Simplify right side
    1,285.52x = 1,417,712.50
  5. Step 5: Solve for x
    x = 1,417,712.50/1,285.52
  6. Step 6: Final answer
    x = 1,102.84

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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.