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Finding the Fourth Proportional to 1,068.99, 1,603.69 and 338.51

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Solution

The fourth proportional to 1,068.99, 1,603.69 and 338.51 is: 507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.99 : 1,603.69 = 338.51 : x
  2. Step 2: Convert to fraction form
    1,068.99/1,603.69 = 338.51/x
  3. Step 3: Cross multiply
    1,068.99x = 1,603.69 × 338.51
  4. Step 4: Simplify right side
    1,068.99x = 542,856.24
  5. Step 5: Solve for x
    x = 542,856.24/1,068.99
  6. Step 6: Final answer
    x = 507.82

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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.