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Finding the Fourth Proportional to 789.19, 1,089.03 and 435.12

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Solution

The fourth proportional to 789.19, 1,089.03 and 435.12 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.19 : 1,089.03 = 435.12 : x
  2. Step 2: Convert to fraction form
    789.19/1,089.03 = 435.12/x
  3. Step 3: Cross multiply
    789.19x = 1,089.03 × 435.12
  4. Step 4: Simplify right side
    789.19x = 473,855.87
  5. Step 5: Solve for x
    x = 473,855.87/789.19
  6. Step 6: Final answer
    x = 600.43

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Half scale
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Double scale
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1.5x scale

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.