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Finding the Fourth Proportional to 789.52, 1,089.40 and 474.70

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Solution

The fourth proportional to 789.52, 1,089.40 and 474.70 is: 655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.52 : 1,089.40 = 474.70 : x
  2. Step 2: Convert to fraction form
    789.52/1,089.40 = 474.70/x
  3. Step 3: Cross multiply
    789.52x = 1,089.40 × 474.70
  4. Step 4: Simplify right side
    789.52x = 517,143.80
  5. Step 5: Solve for x
    x = 517,143.80/789.52
  6. Step 6: Final answer
    x = 655.01

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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.