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Finding the Fourth Proportional to 1,591.45, 2,386.33 and 604.11

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Solution

The fourth proportional to 1,591.45, 2,386.33 and 604.11 is: 905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.45 : 2,386.33 = 604.11 : x
  2. Step 2: Convert to fraction form
    1,591.45/2,386.33 = 604.11/x
  3. Step 3: Cross multiply
    1,591.45x = 2,386.33 × 604.11
  4. Step 4: Simplify right side
    1,591.45x = 1,441,605.82
  5. Step 5: Solve for x
    x = 1,441,605.82/1,591.45
  6. Step 6: Final answer
    x = 905.84

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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.