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Finding the Fourth Proportional to 752.64, 1,036.44 and 642.08

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Solution

The fourth proportional to 752.64, 1,036.44 and 642.08 is: 884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.64 : 1,036.44 = 642.08 : x
  2. Step 2: Convert to fraction form
    752.64/1,036.44 = 642.08/x
  3. Step 3: Cross multiply
    752.64x = 1,036.44 × 642.08
  4. Step 4: Simplify right side
    752.64x = 665,477.40
  5. Step 5: Solve for x
    x = 665,477.40/752.64
  6. Step 6: Final answer
    x = 884.19

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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.