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Finding the Fourth Proportional to 512.48, 705.71 and 456.59

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Solution

The fourth proportional to 512.48, 705.71 and 456.59 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 705.71 = 456.59 : x
  2. Step 2: Convert to fraction form
    512.48/705.71 = 456.59/x
  3. Step 3: Cross multiply
    512.48x = 705.71 × 456.59
  4. Step 4: Simplify right side
    512.48x = 322,214.32
  5. Step 5: Solve for x
    x = 322,214.32/512.48
  6. Step 6: Final answer
    x = 628.74

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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.