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Finding the Fourth Proportional to 929.66, 1,283.98 and 805.12

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Solution

The fourth proportional to 929.66, 1,283.98 and 805.12 is: 1,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.66 : 1,283.98 = 805.12 : x
  2. Step 2: Convert to fraction form
    929.66/1,283.98 = 805.12/x
  3. Step 3: Cross multiply
    929.66x = 1,283.98 × 805.12
  4. Step 4: Simplify right side
    929.66x = 1,033,757.98
  5. Step 5: Solve for x
    x = 1,033,757.98/929.66
  6. Step 6: Final answer
    x = 1,111.97

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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.