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Finding the Fourth Proportional to 813.08, 1,214.20 and 787.98

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Solution

The fourth proportional to 813.08, 1,214.20 and 787.98 is: 1,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.08 : 1,214.20 = 787.98 : x
  2. Step 2: Convert to fraction form
    813.08/1,214.20 = 787.98/x
  3. Step 3: Cross multiply
    813.08x = 1,214.20 × 787.98
  4. Step 4: Simplify right side
    813.08x = 956,765.32
  5. Step 5: Solve for x
    x = 956,765.32/813.08
  6. Step 6: Final answer
    x = 1,176.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.