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Finding the Fourth Proportional to 1,437.66, 2,155.84 and 411.42

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Solution

The fourth proportional to 1,437.66, 2,155.84 and 411.42 is: 616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.66 : 2,155.84 = 411.42 : x
  2. Step 2: Convert to fraction form
    1,437.66/2,155.84 = 411.42/x
  3. Step 3: Cross multiply
    1,437.66x = 2,155.84 × 411.42
  4. Step 4: Simplify right side
    1,437.66x = 886,955.69
  5. Step 5: Solve for x
    x = 886,955.69/1,437.66
  6. Step 6: Final answer
    x = 616.94

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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.