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Finding the Fourth Proportional to 1,536.36, 2,303.05 and 611.61

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Solution

The fourth proportional to 1,536.36, 2,303.05 and 611.61 is: 916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.36 : 2,303.05 = 611.61 : x
  2. Step 2: Convert to fraction form
    1,536.36/2,303.05 = 611.61/x
  3. Step 3: Cross multiply
    1,536.36x = 2,303.05 × 611.61
  4. Step 4: Simplify right side
    1,536.36x = 1,408,568.41
  5. Step 5: Solve for x
    x = 1,408,568.41/1,536.36
  6. Step 6: Final answer
    x = 916.82

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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.