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Finding the Fourth Proportional to 512.14, 705.59 and 477.51

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Solution

The fourth proportional to 512.14, 705.59 and 477.51 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 705.59 = 477.51 : x
  2. Step 2: Convert to fraction form
    512.14/705.59 = 477.51/x
  3. Step 3: Cross multiply
    512.14x = 705.59 × 477.51
  4. Step 4: Simplify right side
    512.14x = 336,925.66
  5. Step 5: Solve for x
    x = 336,925.66/512.14
  6. Step 6: Final answer
    x = 657.88

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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.