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Finding the Fourth Proportional to 973.34, 1,341.87 and 825.38

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Solution

The fourth proportional to 973.34, 1,341.87 and 825.38 is: 1,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.34 : 1,341.87 = 825.38 : x
  2. Step 2: Convert to fraction form
    973.34/1,341.87 = 825.38/x
  3. Step 3: Cross multiply
    973.34x = 1,341.87 × 825.38
  4. Step 4: Simplify right side
    973.34x = 1,107,552.66
  5. Step 5: Solve for x
    x = 1,107,552.66/973.34
  6. Step 6: Final answer
    x = 1,137.89

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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.