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Finding the Fourth Proportional to 1,036.83, 1,555.49 and 459.75

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Solution

The fourth proportional to 1,036.83, 1,555.49 and 459.75 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.83 : 1,555.49 = 459.75 : x
  2. Step 2: Convert to fraction form
    1,036.83/1,555.49 = 459.75/x
  3. Step 3: Cross multiply
    1,036.83x = 1,555.49 × 459.75
  4. Step 4: Simplify right side
    1,036.83x = 715,134.23
  5. Step 5: Solve for x
    x = 715,134.23/1,036.83
  6. Step 6: Final answer
    x = 689.73

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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.