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Finding the Fourth Proportional to 512.74, 707.61 and 302.93

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Solution

The fourth proportional to 512.74, 707.61 and 302.93 is: 418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.74 : 707.61 = 302.93 : x
  2. Step 2: Convert to fraction form
    512.74/707.61 = 302.93/x
  3. Step 3: Cross multiply
    512.74x = 707.61 × 302.93
  4. Step 4: Simplify right side
    512.74x = 214,360.14
  5. Step 5: Solve for x
    x = 214,360.14/512.74
  6. Step 6: Final answer
    x = 418.07

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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.