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Finding the Fourth Proportional to 1,284.38, 1,925.79 and 624.95

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Solution

The fourth proportional to 1,284.38, 1,925.79 and 624.95 is: 937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.38 : 1,925.79 = 624.95 : x
  2. Step 2: Convert to fraction form
    1,284.38/1,925.79 = 624.95/x
  3. Step 3: Cross multiply
    1,284.38x = 1,925.79 × 624.95
  4. Step 4: Simplify right side
    1,284.38x = 1,203,532.06
  5. Step 5: Solve for x
    x = 1,203,532.06/1,284.38
  6. Step 6: Final answer
    x = 937.05

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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.