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Finding the Fourth Proportional to 850.05, 1,275.57 and 557.91

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Solution

The fourth proportional to 850.05, 1,275.57 and 557.91 is: 837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.05 : 1,275.57 = 557.91 : x
  2. Step 2: Convert to fraction form
    850.05/1,275.57 = 557.91/x
  3. Step 3: Cross multiply
    850.05x = 1,275.57 × 557.91
  4. Step 4: Simplify right side
    850.05x = 711,653.26
  5. Step 5: Solve for x
    x = 711,653.26/850.05
  6. Step 6: Final answer
    x = 837.19

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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.