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Finding the Fourth Proportional to 572.65, 790.26 and 310.67

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Solution

The fourth proportional to 572.65, 790.26 and 310.67 is: 428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.65 : 790.26 = 310.67 : x
  2. Step 2: Convert to fraction form
    572.65/790.26 = 310.67/x
  3. Step 3: Cross multiply
    572.65x = 790.26 × 310.67
  4. Step 4: Simplify right side
    572.65x = 245,507.92
  5. Step 5: Solve for x
    x = 245,507.92/572.65
  6. Step 6: Final answer
    x = 428.72

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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.