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Finding the Fourth Proportional to 789.16, 1,088.98 and 474.44

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Solution

The fourth proportional to 789.16, 1,088.98 and 474.44 is: 654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.16 : 1,088.98 = 474.44 : x
  2. Step 2: Convert to fraction form
    789.16/1,088.98 = 474.44/x
  3. Step 3: Cross multiply
    789.16x = 1,088.98 × 474.44
  4. Step 4: Simplify right side
    789.16x = 516,655.67
  5. Step 5: Solve for x
    x = 516,655.67/789.16
  6. Step 6: Final answer
    x = 654.69

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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.