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Finding the Fourth Proportional to 511.47, 705.45 and 494.52

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Solution

The fourth proportional to 511.47, 705.45 and 494.52 is: 682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.47 : 705.45 = 494.52 : x
  2. Step 2: Convert to fraction form
    511.47/705.45 = 494.52/x
  3. Step 3: Cross multiply
    511.47x = 705.45 × 494.52
  4. Step 4: Simplify right side
    511.47x = 348,859.13
  5. Step 5: Solve for x
    x = 348,859.13/511.47
  6. Step 6: Final answer
    x = 682.07

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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.