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Finding the Fourth Proportional to 2,288.23, 3,432.32 and 556.86

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Solution

The fourth proportional to 2,288.23, 3,432.32 and 556.86 is: 835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.23 : 3,432.32 = 556.86 : x
  2. Step 2: Convert to fraction form
    2,288.23/3,432.32 = 556.86/x
  3. Step 3: Cross multiply
    2,288.23x = 3,432.32 × 556.86
  4. Step 4: Simplify right side
    2,288.23x = 1,911,321.72
  5. Step 5: Solve for x
    x = 1,911,321.72/2,288.23
  6. Step 6: Final answer
    x = 835.28

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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.