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Finding the Fourth Proportional to 697.54, 1,038.34 and 687.16

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Solution

The fourth proportional to 697.54, 1,038.34 and 687.16 is: 1,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.54 : 1,038.34 = 687.16 : x
  2. Step 2: Convert to fraction form
    697.54/1,038.34 = 687.16/x
  3. Step 3: Cross multiply
    697.54x = 1,038.34 × 687.16
  4. Step 4: Simplify right side
    697.54x = 713,501.40
  5. Step 5: Solve for x
    x = 713,501.40/697.54
  6. Step 6: Final answer
    x = 1,022.89

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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.