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Finding the Fourth Proportional to 1,027.77, 1,541.61 and 479.19

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Solution

The fourth proportional to 1,027.77, 1,541.61 and 479.19 is: 718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.77 : 1,541.61 = 479.19 : x
  2. Step 2: Convert to fraction form
    1,027.77/1,541.61 = 479.19/x
  3. Step 3: Cross multiply
    1,027.77x = 1,541.61 × 479.19
  4. Step 4: Simplify right side
    1,027.77x = 738,724.10
  5. Step 5: Solve for x
    x = 738,724.10/1,027.77
  6. Step 6: Final answer
    x = 718.77

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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.