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Finding the Fourth Proportional to 1,284.05, 1,925.88 and 359.54

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Solution

The fourth proportional to 1,284.05, 1,925.88 and 359.54 is: 539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.05 : 1,925.88 = 359.54 : x
  2. Step 2: Convert to fraction form
    1,284.05/1,925.88 = 359.54/x
  3. Step 3: Cross multiply
    1,284.05x = 1,925.88 × 359.54
  4. Step 4: Simplify right side
    1,284.05x = 692,438.31
  5. Step 5: Solve for x
    x = 692,438.31/1,284.05
  6. Step 6: Final answer
    x = 539.26

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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.