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Finding the Fourth Proportional to 1,285.71, 1,930.21 and 669.84

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Solution

The fourth proportional to 1,285.71, 1,930.21 and 669.84 is: 1,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.71 : 1,930.21 = 669.84 : x
  2. Step 2: Convert to fraction form
    1,285.71/1,930.21 = 669.84/x
  3. Step 3: Cross multiply
    1,285.71x = 1,930.21 × 669.84
  4. Step 4: Simplify right side
    1,285.71x = 1,292,931.87
  5. Step 5: Solve for x
    x = 1,292,931.87/1,285.71
  6. Step 6: Final answer
    x = 1,005.62

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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.