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Finding the Fourth Proportional to 512.55, 708.08 and 473.67

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Solution

The fourth proportional to 512.55, 708.08 and 473.67 is: 654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.55 : 708.08 = 473.67 : x
  2. Step 2: Convert to fraction form
    512.55/708.08 = 473.67/x
  3. Step 3: Cross multiply
    512.55x = 708.08 × 473.67
  4. Step 4: Simplify right side
    512.55x = 335,393.89
  5. Step 5: Solve for x
    x = 335,393.89/512.55
  6. Step 6: Final answer
    x = 654.36

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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.