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Finding the Fourth Proportional to 813.98, 1,215.02 and 778.47

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Solution

The fourth proportional to 813.98, 1,215.02 and 778.47 is: 1,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.98 : 1,215.02 = 778.47 : x
  2. Step 2: Convert to fraction form
    813.98/1,215.02 = 778.47/x
  3. Step 3: Cross multiply
    813.98x = 1,215.02 × 778.47
  4. Step 4: Simplify right side
    813.98x = 945,852.73
  5. Step 5: Solve for x
    x = 945,852.73/813.98
  6. Step 6: Final answer
    x = 1,162.02

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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.