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Finding the Fourth Proportional to 1,285.94, 1,929.56 and 669.94

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Solution

The fourth proportional to 1,285.94, 1,929.56 and 669.94 is: 1,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.94 : 1,929.56 = 669.94 : x
  2. Step 2: Convert to fraction form
    1,285.94/1,929.56 = 669.94/x
  3. Step 3: Cross multiply
    1,285.94x = 1,929.56 × 669.94
  4. Step 4: Simplify right side
    1,285.94x = 1,292,681.25
  5. Step 5: Solve for x
    x = 1,292,681.25/1,285.94
  6. Step 6: Final answer
    x = 1,005.24

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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.