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Finding the Fourth Proportional to 789.05, 1,088.41 and 508.84

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Solution

The fourth proportional to 789.05, 1,088.41 and 508.84 is: 701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 1,088.41 = 508.84 : x
  2. Step 2: Convert to fraction form
    789.05/1,088.41 = 508.84/x
  3. Step 3: Cross multiply
    789.05x = 1,088.41 × 508.84
  4. Step 4: Simplify right side
    789.05x = 553,822.55
  5. Step 5: Solve for x
    x = 553,822.55/789.05
  6. Step 6: Final answer
    x = 701.88

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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.