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Finding the Fourth Proportional to 825.64, 1,237.04 and 581.02

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Solution

The fourth proportional to 825.64, 1,237.04 and 581.02 is: 870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.64 : 1,237.04 = 581.02 : x
  2. Step 2: Convert to fraction form
    825.64/1,237.04 = 581.02/x
  3. Step 3: Cross multiply
    825.64x = 1,237.04 × 581.02
  4. Step 4: Simplify right side
    825.64x = 718,744.98
  5. Step 5: Solve for x
    x = 718,744.98/825.64
  6. Step 6: Final answer
    x = 870.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.