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Finding the Fourth Proportional to 930.94, 1,398.57 and 805.66

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Solution

The fourth proportional to 930.94, 1,398.57 and 805.66 is: 1,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.94 : 1,398.57 = 805.66 : x
  2. Step 2: Convert to fraction form
    930.94/1,398.57 = 805.66/x
  3. Step 3: Cross multiply
    930.94x = 1,398.57 × 805.66
  4. Step 4: Simplify right side
    930.94x = 1,126,771.91
  5. Step 5: Solve for x
    x = 1,126,771.91/930.94
  6. Step 6: Final answer
    x = 1,210.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.