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Finding the Fourth Proportional to 1,284.93, 1,925.78 and 634.50

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Solution

The fourth proportional to 1,284.93, 1,925.78 and 634.50 is: 950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.93 : 1,925.78 = 634.50 : x
  2. Step 2: Convert to fraction form
    1,284.93/1,925.78 = 634.50/x
  3. Step 3: Cross multiply
    1,284.93x = 1,925.78 × 634.50
  4. Step 4: Simplify right side
    1,284.93x = 1,221,904.24
  5. Step 5: Solve for x
    x = 1,221,904.24/1,284.93
  6. Step 6: Final answer
    x = 950.95

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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.