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Finding the Fourth Proportional to 697.55, 1,038.33 and 687.15

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Solution

The fourth proportional to 697.55, 1,038.33 and 687.15 is: 1,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.55 : 1,038.33 = 687.15 : x
  2. Step 2: Convert to fraction form
    697.55/1,038.33 = 687.15/x
  3. Step 3: Cross multiply
    697.55x = 1,038.33 × 687.15
  4. Step 4: Simplify right side
    697.55x = 713,488.46
  5. Step 5: Solve for x
    x = 713,488.46/697.55
  6. Step 6: Final answer
    x = 1,022.86

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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.