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Finding the Fourth Proportional to 796.15, 1,097.85 and 707.73

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Solution

The fourth proportional to 796.15, 1,097.85 and 707.73 is: 975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.15 : 1,097.85 = 707.73 : x
  2. Step 2: Convert to fraction form
    796.15/1,097.85 = 707.73/x
  3. Step 3: Cross multiply
    796.15x = 1,097.85 × 707.73
  4. Step 4: Simplify right side
    796.15x = 776,981.38
  5. Step 5: Solve for x
    x = 776,981.38/796.15
  6. Step 6: Final answer
    x = 975.92

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1.5x scale

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.