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Finding the Fourth Proportional to 510.58, 765.65 and 145.29

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Solution

The fourth proportional to 510.58, 765.65 and 145.29 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.58 : 765.65 = 145.29 : x
  2. Step 2: Convert to fraction form
    510.58/765.65 = 145.29/x
  3. Step 3: Cross multiply
    510.58x = 765.65 × 145.29
  4. Step 4: Simplify right side
    510.58x = 111,239.22
  5. Step 5: Solve for x
    x = 111,239.22/510.58
  6. Step 6: Final answer
    x = 217.87

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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.