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Finding the Fourth Proportional to 697.13, 1,038.40 and 665.54

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Solution

The fourth proportional to 697.13, 1,038.40 and 665.54 is: 991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 1,038.40 = 665.54 : x
  2. Step 2: Convert to fraction form
    697.13/1,038.40 = 665.54/x
  3. Step 3: Cross multiply
    697.13x = 1,038.40 × 665.54
  4. Step 4: Simplify right side
    697.13x = 691,096.74
  5. Step 5: Solve for x
    x = 691,096.74/697.13
  6. Step 6: Final answer
    x = 991.35

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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.