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Finding the Fourth Proportional to 510.07, 761.19 and 455.39

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Solution

The fourth proportional to 510.07, 761.19 and 455.39 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.07 : 761.19 = 455.39 : x
  2. Step 2: Convert to fraction form
    510.07/761.19 = 455.39/x
  3. Step 3: Cross multiply
    510.07x = 761.19 × 455.39
  4. Step 4: Simplify right side
    510.07x = 346,638.31
  5. Step 5: Solve for x
    x = 346,638.31/510.07
  6. Step 6: Final answer
    x = 679.59

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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.