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Finding the Fourth Proportional to 1,272.98, 1,909.74 and 624.08

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Solution

The fourth proportional to 1,272.98, 1,909.74 and 624.08 is: 936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.98 : 1,909.74 = 624.08 : x
  2. Step 2: Convert to fraction form
    1,272.98/1,909.74 = 624.08/x
  3. Step 3: Cross multiply
    1,272.98x = 1,909.74 × 624.08
  4. Step 4: Simplify right side
    1,272.98x = 1,191,830.54
  5. Step 5: Solve for x
    x = 1,191,830.54/1,272.98
  6. Step 6: Final answer
    x = 936.25

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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.