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Finding the Fourth Proportional to 898.80, 1,242.98 and 788.05

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Solution

The fourth proportional to 898.80, 1,242.98 and 788.05 is: 1,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.80 : 1,242.98 = 788.05 : x
  2. Step 2: Convert to fraction form
    898.80/1,242.98 = 788.05/x
  3. Step 3: Cross multiply
    898.80x = 1,242.98 × 788.05
  4. Step 4: Simplify right side
    898.80x = 979,530.39
  5. Step 5: Solve for x
    x = 979,530.39/898.80
  6. Step 6: Final answer
    x = 1,089.82

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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.