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Finding the Fourth Proportional to 1,153.20, 1,727.52 and 536.08

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Solution

The fourth proportional to 1,153.20, 1,727.52 and 536.08 is: 803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.20 : 1,727.52 = 536.08 : x
  2. Step 2: Convert to fraction form
    1,153.20/1,727.52 = 536.08/x
  3. Step 3: Cross multiply
    1,153.20x = 1,727.52 × 536.08
  4. Step 4: Simplify right side
    1,153.20x = 926,088.92
  5. Step 5: Solve for x
    x = 926,088.92/1,153.20
  6. Step 6: Final answer
    x = 803.06

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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.