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Finding the Fourth Proportional to 1,458.83, 2,187.59 and 418.59

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Solution

The fourth proportional to 1,458.83, 2,187.59 and 418.59 is: 627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.83 : 2,187.59 = 418.59 : x
  2. Step 2: Convert to fraction form
    1,458.83/2,187.59 = 418.59/x
  3. Step 3: Cross multiply
    1,458.83x = 2,187.59 × 418.59
  4. Step 4: Simplify right side
    1,458.83x = 915,709.81
  5. Step 5: Solve for x
    x = 915,709.81/1,458.83
  6. Step 6: Final answer
    x = 627.70

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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.