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Finding the Fourth Proportional to 510.44, 763.93 and 278.71

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Solution

The fourth proportional to 510.44, 763.93 and 278.71 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.44 : 763.93 = 278.71 : x
  2. Step 2: Convert to fraction form
    510.44/763.93 = 278.71/x
  3. Step 3: Cross multiply
    510.44x = 763.93 × 278.71
  4. Step 4: Simplify right side
    510.44x = 212,913.37
  5. Step 5: Solve for x
    x = 212,913.37/510.44
  6. Step 6: Final answer
    x = 417.12

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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.