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Finding the Fourth Proportional to 1,535.16, 2,304.05 and 611.37

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Solution

The fourth proportional to 1,535.16, 2,304.05 and 611.37 is: 917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.16 : 2,304.05 = 611.37 : x
  2. Step 2: Convert to fraction form
    1,535.16/2,304.05 = 611.37/x
  3. Step 3: Cross multiply
    1,535.16x = 2,304.05 × 611.37
  4. Step 4: Simplify right side
    1,535.16x = 1,408,627.05
  5. Step 5: Solve for x
    x = 1,408,627.05/1,535.16
  6. Step 6: Final answer
    x = 917.58

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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.