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Finding the Fourth Proportional to 1,774.20, 2,659.30 and 603.10

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Solution

The fourth proportional to 1,774.20, 2,659.30 and 603.10 is: 903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.20 : 2,659.30 = 603.10 : x
  2. Step 2: Convert to fraction form
    1,774.20/2,659.30 = 603.10/x
  3. Step 3: Cross multiply
    1,774.20x = 2,659.30 × 603.10
  4. Step 4: Simplify right side
    1,774.20x = 1,603,820.81
  5. Step 5: Solve for x
    x = 1,603,820.81/1,774.20
  6. Step 6: Final answer
    x = 903.97

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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.