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Finding the Fourth Proportional to 512.48, 707.10 and 347.24

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Solution

The fourth proportional to 512.48, 707.10 and 347.24 is: 479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 707.10 = 347.24 : x
  2. Step 2: Convert to fraction form
    512.48/707.10 = 347.24/x
  3. Step 3: Cross multiply
    512.48x = 707.10 × 347.24
  4. Step 4: Simplify right side
    512.48x = 245,533.40
  5. Step 5: Solve for x
    x = 245,533.40/512.48
  6. Step 6: Final answer
    x = 479.11

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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.