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Finding the Fourth Proportional to 1,105.15, 1,657.54 and 364.75

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Solution

The fourth proportional to 1,105.15, 1,657.54 and 364.75 is: 547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.15 : 1,657.54 = 364.75 : x
  2. Step 2: Convert to fraction form
    1,105.15/1,657.54 = 364.75/x
  3. Step 3: Cross multiply
    1,105.15x = 1,657.54 × 364.75
  4. Step 4: Simplify right side
    1,105.15x = 604,585.89
  5. Step 5: Solve for x
    x = 604,585.89/1,105.15
  6. Step 6: Final answer
    x = 547.06

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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.