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Finding the Fourth Proportional to 1,235.00, 1,703.90 and 841.34

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Solution

The fourth proportional to 1,235.00, 1,703.90 and 841.34 is: 1,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.00 : 1,703.90 = 841.34 : x
  2. Step 2: Convert to fraction form
    1,235.00/1,703.90 = 841.34/x
  3. Step 3: Cross multiply
    1,235.00x = 1,703.90 × 841.34
  4. Step 4: Simplify right side
    1,235.00x = 1,433,565.59
  5. Step 5: Solve for x
    x = 1,433,565.59/1,235.00
  6. Step 6: Final answer
    x = 1,160.78

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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.