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Finding the Fourth Proportional to 1,283.58, 1,923.93 and 634.77

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Solution

The fourth proportional to 1,283.58, 1,923.93 and 634.77 is: 951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.58 : 1,923.93 = 634.77 : x
  2. Step 2: Convert to fraction form
    1,283.58/1,923.93 = 634.77/x
  3. Step 3: Cross multiply
    1,283.58x = 1,923.93 × 634.77
  4. Step 4: Simplify right side
    1,283.58x = 1,221,253.05
  5. Step 5: Solve for x
    x = 1,221,253.05/1,283.58
  6. Step 6: Final answer
    x = 951.44

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1.5x scale

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.