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Finding the Fourth Proportional to 1,160.04, 1,740.12 and 855.48

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Solution

The fourth proportional to 1,160.04, 1,740.12 and 855.48 is: 1,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.04 : 1,740.12 = 855.48 : x
  2. Step 2: Convert to fraction form
    1,160.04/1,740.12 = 855.48/x
  3. Step 3: Cross multiply
    1,160.04x = 1,740.12 × 855.48
  4. Step 4: Simplify right side
    1,160.04x = 1,488,637.86
  5. Step 5: Solve for x
    x = 1,488,637.86/1,160.04
  6. Step 6: Final answer
    x = 1,283.26

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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.