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Finding the Fourth Proportional to 1,215.61, 1,824.50 and 566.71

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Solution

The fourth proportional to 1,215.61, 1,824.50 and 566.71 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.61 : 1,824.50 = 566.71 : x
  2. Step 2: Convert to fraction form
    1,215.61/1,824.50 = 566.71/x
  3. Step 3: Cross multiply
    1,215.61x = 1,824.50 × 566.71
  4. Step 4: Simplify right side
    1,215.61x = 1,033,962.40
  5. Step 5: Solve for x
    x = 1,033,962.40/1,215.61
  6. Step 6: Final answer
    x = 850.57

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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.