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Finding the Fourth Proportional to 510.55, 765.23 and 291.29

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Solution

The fourth proportional to 510.55, 765.23 and 291.29 is: 436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.55 : 765.23 = 291.29 : x
  2. Step 2: Convert to fraction form
    510.55/765.23 = 291.29/x
  3. Step 3: Cross multiply
    510.55x = 765.23 × 291.29
  4. Step 4: Simplify right side
    510.55x = 222,903.85
  5. Step 5: Solve for x
    x = 222,903.85/510.55
  6. Step 6: Final answer
    x = 436.60

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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.