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Finding the Fourth Proportional to 790.76, 1,183.80 and 586.25

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Solution

The fourth proportional to 790.76, 1,183.80 and 586.25 is: 877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.76 : 1,183.80 = 586.25 : x
  2. Step 2: Convert to fraction form
    790.76/1,183.80 = 586.25/x
  3. Step 3: Cross multiply
    790.76x = 1,183.80 × 586.25
  4. Step 4: Simplify right side
    790.76x = 694,003.47
  5. Step 5: Solve for x
    x = 694,003.47/790.76
  6. Step 6: Final answer
    x = 877.64

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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.