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Finding the Fourth Proportional to 512.06, 706.19 and 407.03

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Solution

The fourth proportional to 512.06, 706.19 and 407.03 is: 561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 706.19 = 407.03 : x
  2. Step 2: Convert to fraction form
    512.06/706.19 = 407.03/x
  3. Step 3: Cross multiply
    512.06x = 706.19 × 407.03
  4. Step 4: Simplify right side
    512.06x = 287,434.95
  5. Step 5: Solve for x
    x = 287,434.95/512.06
  6. Step 6: Final answer
    x = 561.34

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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.