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Finding the Fourth Proportional to 1,042.45, 1,435.65 and 1,019.77

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Solution

The fourth proportional to 1,042.45, 1,435.65 and 1,019.77 is: 1,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.45 : 1,435.65 = 1,019.77 : x
  2. Step 2: Convert to fraction form
    1,042.45/1,435.65 = 1,019.77/x
  3. Step 3: Cross multiply
    1,042.45x = 1,435.65 × 1,019.77
  4. Step 4: Simplify right side
    1,042.45x = 1,464,032.80
  5. Step 5: Solve for x
    x = 1,464,032.80/1,042.45
  6. Step 6: Final answer
    x = 1,404.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.