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Finding the Fourth Proportional to 845.15, 1,165.65 and 565.29

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Solution

The fourth proportional to 845.15, 1,165.65 and 565.29 is: 779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.15 : 1,165.65 = 565.29 : x
  2. Step 2: Convert to fraction form
    845.15/1,165.65 = 565.29/x
  3. Step 3: Cross multiply
    845.15x = 1,165.65 × 565.29
  4. Step 4: Simplify right side
    845.15x = 658,930.29
  5. Step 5: Solve for x
    x = 658,930.29/845.15
  6. Step 6: Final answer
    x = 779.67

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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.