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Finding the Fourth Proportional to 1,207.52, 1,811.52 and 438.08

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Solution

The fourth proportional to 1,207.52, 1,811.52 and 438.08 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.52 : 1,811.52 = 438.08 : x
  2. Step 2: Convert to fraction form
    1,207.52/1,811.52 = 438.08/x
  3. Step 3: Cross multiply
    1,207.52x = 1,811.52 × 438.08
  4. Step 4: Simplify right side
    1,207.52x = 793,590.68
  5. Step 5: Solve for x
    x = 793,590.68/1,207.52
  6. Step 6: Final answer
    x = 657.21

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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.