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Finding the Fourth Proportional to 1,569.83, 2,354.74 and 792.23

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Solution

The fourth proportional to 1,569.83, 2,354.74 and 792.23 is: 1,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.83 : 2,354.74 = 792.23 : x
  2. Step 2: Convert to fraction form
    1,569.83/2,354.74 = 792.23/x
  3. Step 3: Cross multiply
    1,569.83x = 2,354.74 × 792.23
  4. Step 4: Simplify right side
    1,569.83x = 1,865,481.92
  5. Step 5: Solve for x
    x = 1,865,481.92/1,569.83
  6. Step 6: Final answer
    x = 1,188.34

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1.5x scale

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.