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Finding the Fourth Proportional to 973.13, 1,342.45 and 658.50

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Solution

The fourth proportional to 973.13, 1,342.45 and 658.50 is: 908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.13 : 1,342.45 = 658.50 : x
  2. Step 2: Convert to fraction form
    973.13/1,342.45 = 658.50/x
  3. Step 3: Cross multiply
    973.13x = 1,342.45 × 658.50
  4. Step 4: Simplify right side
    973.13x = 884,003.33
  5. Step 5: Solve for x
    x = 884,003.33/973.13
  6. Step 6: Final answer
    x = 908.42

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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.