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Finding the Fourth Proportional to 848.24, 1,169.60 and 723.68

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Solution

The fourth proportional to 848.24, 1,169.60 and 723.68 is: 997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.24 : 1,169.60 = 723.68 : x
  2. Step 2: Convert to fraction form
    848.24/1,169.60 = 723.68/x
  3. Step 3: Cross multiply
    848.24x = 1,169.60 × 723.68
  4. Step 4: Simplify right side
    848.24x = 846,416.13
  5. Step 5: Solve for x
    x = 846,416.13/848.24
  6. Step 6: Final answer
    x = 997.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.