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Finding the Fourth Proportional to 808.24, 1,113.12 and 697.66

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Solution

The fourth proportional to 808.24, 1,113.12 and 697.66 is: 960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.24 : 1,113.12 = 697.66 : x
  2. Step 2: Convert to fraction form
    808.24/1,113.12 = 697.66/x
  3. Step 3: Cross multiply
    808.24x = 1,113.12 × 697.66
  4. Step 4: Simplify right side
    808.24x = 776,579.30
  5. Step 5: Solve for x
    x = 776,579.30/808.24
  6. Step 6: Final answer
    x = 960.83

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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.