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Finding the Fourth Proportional to 1,051.32, 1,449.18 and 842.34

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Solution

The fourth proportional to 1,051.32, 1,449.18 and 842.34 is: 1,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.32 : 1,449.18 = 842.34 : x
  2. Step 2: Convert to fraction form
    1,051.32/1,449.18 = 842.34/x
  3. Step 3: Cross multiply
    1,051.32x = 1,449.18 × 842.34
  4. Step 4: Simplify right side
    1,051.32x = 1,220,702.28
  5. Step 5: Solve for x
    x = 1,220,702.28/1,051.32
  6. Step 6: Final answer
    x = 1,161.11

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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.