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Finding the Fourth Proportional to 504.91, 761.08 and 463.30

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Solution

The fourth proportional to 504.91, 761.08 and 463.30 is: 698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.91 : 761.08 = 463.30 : x
  2. Step 2: Convert to fraction form
    504.91/761.08 = 463.30/x
  3. Step 3: Cross multiply
    504.91x = 761.08 × 463.30
  4. Step 4: Simplify right side
    504.91x = 352,608.36
  5. Step 5: Solve for x
    x = 352,608.36/504.91
  6. Step 6: Final answer
    x = 698.36

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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.