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Finding the Fourth Proportional to 973.50, 1,343.43 and 697.98

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Solution

The fourth proportional to 973.50, 1,343.43 and 697.98 is: 963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.50 : 1,343.43 = 697.98 : x
  2. Step 2: Convert to fraction form
    973.50/1,343.43 = 697.98/x
  3. Step 3: Cross multiply
    973.50x = 1,343.43 × 697.98
  4. Step 4: Simplify right side
    973.50x = 937,687.27
  5. Step 5: Solve for x
    x = 937,687.27/973.50
  6. Step 6: Final answer
    x = 963.21

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Why These Related Problems?

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