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Finding the Fourth Proportional to 1,283.79, 1,925.57 and 359.43

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Solution

The fourth proportional to 1,283.79, 1,925.57 and 359.43 is: 539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.79 : 1,925.57 = 359.43 : x
  2. Step 2: Convert to fraction form
    1,283.79/1,925.57 = 359.43/x
  3. Step 3: Cross multiply
    1,283.79x = 1,925.57 × 359.43
  4. Step 4: Simplify right side
    1,283.79x = 692,105.83
  5. Step 5: Solve for x
    x = 692,105.83/1,283.79
  6. Step 6: Final answer
    x = 539.11

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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.