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Finding the Fourth Proportional to 510.06, 761.18 and 455.38

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Solution

The fourth proportional to 510.06, 761.18 and 455.38 is: 679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.06 : 761.18 = 455.38 : x
  2. Step 2: Convert to fraction form
    510.06/761.18 = 455.38/x
  3. Step 3: Cross multiply
    510.06x = 761.18 × 455.38
  4. Step 4: Simplify right side
    510.06x = 346,626.15
  5. Step 5: Solve for x
    x = 346,626.15/510.06
  6. Step 6: Final answer
    x = 679.58

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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.