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Finding the Fourth Proportional to 1,758.25, 2,426.26 and 972.30

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Solution

The fourth proportional to 1,758.25, 2,426.26 and 972.30 is: 1,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.25 : 2,426.26 = 972.30 : x
  2. Step 2: Convert to fraction form
    1,758.25/2,426.26 = 972.30/x
  3. Step 3: Cross multiply
    1,758.25x = 2,426.26 × 972.30
  4. Step 4: Simplify right side
    1,758.25x = 2,359,047.74
  5. Step 5: Solve for x
    x = 2,359,047.74/1,758.25
  6. Step 6: Final answer
    x = 1,341.71

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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.