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Finding the Fourth Proportional to 512.64, 772.55 and 487.93

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Solution

The fourth proportional to 512.64, 772.55 and 487.93 is: 735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 772.55 = 487.93 : x
  2. Step 2: Convert to fraction form
    512.64/772.55 = 487.93/x
  3. Step 3: Cross multiply
    512.64x = 772.55 × 487.93
  4. Step 4: Simplify right side
    512.64x = 376,950.32
  5. Step 5: Solve for x
    x = 376,950.32/512.64
  6. Step 6: Final answer
    x = 735.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.