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Finding the Fourth Proportional to 2,888.76, 4,333.10 and 697.47

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Solution

The fourth proportional to 2,888.76, 4,333.10 and 697.47 is: 1,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.76 : 4,333.10 = 697.47 : x
  2. Step 2: Convert to fraction form
    2,888.76/4,333.10 = 697.47/x
  3. Step 3: Cross multiply
    2,888.76x = 4,333.10 × 697.47
  4. Step 4: Simplify right side
    2,888.76x = 3,022,203.77
  5. Step 5: Solve for x
    x = 3,022,203.77/2,888.76
  6. Step 6: Final answer
    x = 1,046.19

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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.