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Finding the Fourth Proportional to 1,770.00, 2,442.43 and 973.31

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Solution

The fourth proportional to 1,770.00, 2,442.43 and 973.31 is: 1,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.00 : 2,442.43 = 973.31 : x
  2. Step 2: Convert to fraction form
    1,770.00/2,442.43 = 973.31/x
  3. Step 3: Cross multiply
    1,770.00x = 2,442.43 × 973.31
  4. Step 4: Simplify right side
    1,770.00x = 2,377,250.12
  5. Step 5: Solve for x
    x = 2,377,250.12/1,770.00
  6. Step 6: Final answer
    x = 1,343.08

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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.