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Finding the Fourth Proportional to 651.61, 975.57 and 513.91

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Solution

The fourth proportional to 651.61, 975.57 and 513.91 is: 769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.61 : 975.57 = 513.91 : x
  2. Step 2: Convert to fraction form
    651.61/975.57 = 513.91/x
  3. Step 3: Cross multiply
    651.61x = 975.57 × 513.91
  4. Step 4: Simplify right side
    651.61x = 501,355.18
  5. Step 5: Solve for x
    x = 501,355.18/651.61
  6. Step 6: Final answer
    x = 769.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.