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Finding the Fourth Proportional to 1,068.60, 1,601.47 and 519.13

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Solution

The fourth proportional to 1,068.60, 1,601.47 and 519.13 is: 778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.60 : 1,601.47 = 519.13 : x
  2. Step 2: Convert to fraction form
    1,068.60/1,601.47 = 519.13/x
  3. Step 3: Cross multiply
    1,068.60x = 1,601.47 × 519.13
  4. Step 4: Simplify right side
    1,068.60x = 831,371.12
  5. Step 5: Solve for x
    x = 831,371.12/1,068.60
  6. Step 6: Final answer
    x = 778.00

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Why These Related Problems?

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