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Finding the Fourth Proportional to 511.57, 706.08 and 312.45

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Solution

The fourth proportional to 511.57, 706.08 and 312.45 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.57 : 706.08 = 312.45 : x
  2. Step 2: Convert to fraction form
    511.57/706.08 = 312.45/x
  3. Step 3: Cross multiply
    511.57x = 706.08 × 312.45
  4. Step 4: Simplify right side
    511.57x = 220,614.70
  5. Step 5: Solve for x
    x = 220,614.70/511.57
  6. Step 6: Final answer
    x = 431.25

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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.