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Finding the Fourth Proportional to 697.70, 962.19 and 539.83

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Solution

The fourth proportional to 697.70, 962.19 and 539.83 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.70 : 962.19 = 539.83 : x
  2. Step 2: Convert to fraction form
    697.70/962.19 = 539.83/x
  3. Step 3: Cross multiply
    697.70x = 962.19 × 539.83
  4. Step 4: Simplify right side
    697.70x = 519,420.23
  5. Step 5: Solve for x
    x = 519,420.23/697.70
  6. Step 6: Final answer
    x = 744.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.