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Finding the Fourth Proportional to 1,145.61, 1,717.99 and 452.05

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Solution

The fourth proportional to 1,145.61, 1,717.99 and 452.05 is: 677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.61 : 1,717.99 = 452.05 : x
  2. Step 2: Convert to fraction form
    1,145.61/1,717.99 = 452.05/x
  3. Step 3: Cross multiply
    1,145.61x = 1,717.99 × 452.05
  4. Step 4: Simplify right side
    1,145.61x = 776,611.95
  5. Step 5: Solve for x
    x = 776,611.95/1,145.61
  6. Step 6: Final answer
    x = 677.90

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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.