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Finding the Fourth Proportional to 513.77, 707.15 and 464.54

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Solution

The fourth proportional to 513.77, 707.15 and 464.54 is: 639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.77 : 707.15 = 464.54 : x
  2. Step 2: Convert to fraction form
    513.77/707.15 = 464.54/x
  3. Step 3: Cross multiply
    513.77x = 707.15 × 464.54
  4. Step 4: Simplify right side
    513.77x = 328,497.14
  5. Step 5: Solve for x
    x = 328,497.14/513.77
  6. Step 6: Final answer
    x = 639.39

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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.