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Finding the Fourth Proportional to 845.34, 1,268.43 and 570.83

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Solution

The fourth proportional to 845.34, 1,268.43 and 570.83 is: 856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.34 : 1,268.43 = 570.83 : x
  2. Step 2: Convert to fraction form
    845.34/1,268.43 = 570.83/x
  3. Step 3: Cross multiply
    845.34x = 1,268.43 × 570.83
  4. Step 4: Simplify right side
    845.34x = 724,048.70
  5. Step 5: Solve for x
    x = 724,048.70/845.34
  6. Step 6: Final answer
    x = 856.52

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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.