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Finding the Fourth Proportional to 510.19, 761.37 and 455.52

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Solution

The fourth proportional to 510.19, 761.37 and 455.52 is: 679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.19 : 761.37 = 455.52 : x
  2. Step 2: Convert to fraction form
    510.19/761.37 = 455.52/x
  3. Step 3: Cross multiply
    510.19x = 761.37 × 455.52
  4. Step 4: Simplify right side
    510.19x = 346,819.26
  5. Step 5: Solve for x
    x = 346,819.26/510.19
  6. Step 6: Final answer
    x = 679.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.