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Finding the Fourth Proportional to 512.46, 706.45 and 407.59

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Solution

The fourth proportional to 512.46, 706.45 and 407.59 is: 561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 706.45 = 407.59 : x
  2. Step 2: Convert to fraction form
    512.46/706.45 = 407.59/x
  3. Step 3: Cross multiply
    512.46x = 706.45 × 407.59
  4. Step 4: Simplify right side
    512.46x = 287,941.96
  5. Step 5: Solve for x
    x = 287,941.96/512.46
  6. Step 6: Final answer
    x = 561.88

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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.