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Finding the Fourth Proportional to 510.60, 764.64 and 419.52

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Solution

The fourth proportional to 510.60, 764.64 and 419.52 is: 628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 764.64 = 419.52 : x
  2. Step 2: Convert to fraction form
    510.60/764.64 = 419.52/x
  3. Step 3: Cross multiply
    510.60x = 764.64 × 419.52
  4. Step 4: Simplify right side
    510.60x = 320,781.77
  5. Step 5: Solve for x
    x = 320,781.77/510.60
  6. Step 6: Final answer
    x = 628.24

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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.