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Finding the Fourth Proportional to 973.50, 1,343.23 and 658.82

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Solution

The fourth proportional to 973.50, 1,343.23 and 658.82 is: 909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.50 : 1,343.23 = 658.82 : x
  2. Step 2: Convert to fraction form
    973.50/1,343.23 = 658.82/x
  3. Step 3: Cross multiply
    973.50x = 1,343.23 × 658.82
  4. Step 4: Simplify right side
    973.50x = 884,938.43
  5. Step 5: Solve for x
    x = 884,938.43/973.50
  6. Step 6: Final answer
    x = 909.03

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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.