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Finding the Fourth Proportional to 1,224.74, 1,689.69 and 805.32

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Solution

The fourth proportional to 1,224.74, 1,689.69 and 805.32 is: 1,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.74 : 1,689.69 = 805.32 : x
  2. Step 2: Convert to fraction form
    1,224.74/1,689.69 = 805.32/x
  3. Step 3: Cross multiply
    1,224.74x = 1,689.69 × 805.32
  4. Step 4: Simplify right side
    1,224.74x = 1,360,741.15
  5. Step 5: Solve for x
    x = 1,360,741.15/1,224.74
  6. Step 6: Final answer
    x = 1,111.05

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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.