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Finding the Fourth Proportional to 697.01, 1,039.84 and 677.16

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Solution

The fourth proportional to 697.01, 1,039.84 and 677.16 is: 1,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.01 : 1,039.84 = 677.16 : x
  2. Step 2: Convert to fraction form
    697.01/1,039.84 = 677.16/x
  3. Step 3: Cross multiply
    697.01x = 1,039.84 × 677.16
  4. Step 4: Simplify right side
    697.01x = 704,136.36
  5. Step 5: Solve for x
    x = 704,136.36/697.01
  6. Step 6: Final answer
    x = 1,010.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.