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Finding the Fourth Proportional to 512.31, 707.24 and 302.55

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Solution

The fourth proportional to 512.31, 707.24 and 302.55 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.31 : 707.24 = 302.55 : x
  2. Step 2: Convert to fraction form
    512.31/707.24 = 302.55/x
  3. Step 3: Cross multiply
    512.31x = 707.24 × 302.55
  4. Step 4: Simplify right side
    512.31x = 213,971.93
  5. Step 5: Solve for x
    x = 213,971.93/512.31
  6. Step 6: Final answer
    x = 417.67

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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.