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Finding the Fourth Proportional to 973.97, 1,344.12 and 554.39

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Solution

The fourth proportional to 973.97, 1,344.12 and 554.39 is: 765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.97 : 1,344.12 = 554.39 : x
  2. Step 2: Convert to fraction form
    973.97/1,344.12 = 554.39/x
  3. Step 3: Cross multiply
    973.97x = 1,344.12 × 554.39
  4. Step 4: Simplify right side
    973.97x = 745,166.69
  5. Step 5: Solve for x
    x = 745,166.69/973.97
  6. Step 6: Final answer
    x = 765.08

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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.