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Finding the Fourth Proportional to 1,039.90, 1,555.26 and 925.15

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Solution

The fourth proportional to 1,039.90, 1,555.26 and 925.15 is: 1,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.90 : 1,555.26 = 925.15 : x
  2. Step 2: Convert to fraction form
    1,039.90/1,555.26 = 925.15/x
  3. Step 3: Cross multiply
    1,039.90x = 1,555.26 × 925.15
  4. Step 4: Simplify right side
    1,039.90x = 1,438,848.79
  5. Step 5: Solve for x
    x = 1,438,848.79/1,039.90
  6. Step 6: Final answer
    x = 1,383.64

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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.