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Finding the Fourth Proportional to 510.04, 764.04 and 394.08

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Solution

The fourth proportional to 510.04, 764.04 and 394.08 is: 590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 764.04 = 394.08 : x
  2. Step 2: Convert to fraction form
    510.04/764.04 = 394.08/x
  3. Step 3: Cross multiply
    510.04x = 764.04 × 394.08
  4. Step 4: Simplify right side
    510.04x = 301,092.88
  5. Step 5: Solve for x
    x = 301,092.88/510.04
  6. Step 6: Final answer
    x = 590.33

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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.