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Finding the Fourth Proportional to 518.02, 776.12 and 461.52

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Solution

The fourth proportional to 518.02, 776.12 and 461.52 is: 691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.02 : 776.12 = 461.52 : x
  2. Step 2: Convert to fraction form
    518.02/776.12 = 461.52/x
  3. Step 3: Cross multiply
    518.02x = 776.12 × 461.52
  4. Step 4: Simplify right side
    518.02x = 358,192.59
  5. Step 5: Solve for x
    x = 358,192.59/518.02
  6. Step 6: Final answer
    x = 691.47

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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.