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Finding the Fourth Proportional to 510.42, 767.34 and 419.80

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Solution

The fourth proportional to 510.42, 767.34 and 419.80 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 767.34 = 419.80 : x
  2. Step 2: Convert to fraction form
    510.42/767.34 = 419.80/x
  3. Step 3: Cross multiply
    510.42x = 767.34 × 419.80
  4. Step 4: Simplify right side
    510.42x = 322,129.33
  5. Step 5: Solve for x
    x = 322,129.33/510.42
  6. Step 6: Final answer
    x = 631.11

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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.