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Finding the Fourth Proportional to 1,734.30, 2,392.65 and 977.91

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Solution

The fourth proportional to 1,734.30, 2,392.65 and 977.91 is: 1,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.30 : 2,392.65 = 977.91 : x
  2. Step 2: Convert to fraction form
    1,734.30/2,392.65 = 977.91/x
  3. Step 3: Cross multiply
    1,734.30x = 2,392.65 × 977.91
  4. Step 4: Simplify right side
    1,734.30x = 2,339,796.36
  5. Step 5: Solve for x
    x = 2,339,796.36/1,734.30
  6. Step 6: Final answer
    x = 1,349.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.