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Finding the Fourth Proportional to 572.66, 790.27 and 310.68

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Solution

The fourth proportional to 572.66, 790.27 and 310.68 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.66 : 790.27 = 310.68 : x
  2. Step 2: Convert to fraction form
    572.66/790.27 = 310.68/x
  3. Step 3: Cross multiply
    572.66x = 790.27 × 310.68
  4. Step 4: Simplify right side
    572.66x = 245,521.08
  5. Step 5: Solve for x
    x = 245,521.08/572.66
  6. Step 6: Final answer
    x = 428.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.