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Finding the Fourth Proportional to 908.73, 1,356.66 and 778.77

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Solution

The fourth proportional to 908.73, 1,356.66 and 778.77 is: 1,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.73 : 1,356.66 = 778.77 : x
  2. Step 2: Convert to fraction form
    908.73/1,356.66 = 778.77/x
  3. Step 3: Cross multiply
    908.73x = 1,356.66 × 778.77
  4. Step 4: Simplify right side
    908.73x = 1,056,526.11
  5. Step 5: Solve for x
    x = 1,056,526.11/908.73
  6. Step 6: Final answer
    x = 1,162.64

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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.