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Finding the Fourth Proportional to 1,051.10, 1,448.88 and 701.18

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Solution

The fourth proportional to 1,051.10, 1,448.88 and 701.18 is: 966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.10 : 1,448.88 = 701.18 : x
  2. Step 2: Convert to fraction form
    1,051.10/1,448.88 = 701.18/x
  3. Step 3: Cross multiply
    1,051.10x = 1,448.88 × 701.18
  4. Step 4: Simplify right side
    1,051.10x = 1,015,925.68
  5. Step 5: Solve for x
    x = 1,015,925.68/1,051.10
  6. Step 6: Final answer
    x = 966.54

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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.