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Finding the Fourth Proportional to 511.44, 762.24 and 510.63

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Solution

The fourth proportional to 511.44, 762.24 and 510.63 is: 761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.44 : 762.24 = 510.63 : x
  2. Step 2: Convert to fraction form
    511.44/762.24 = 510.63/x
  3. Step 3: Cross multiply
    511.44x = 762.24 × 510.63
  4. Step 4: Simplify right side
    511.44x = 389,222.61
  5. Step 5: Solve for x
    x = 389,222.61/511.44
  6. Step 6: Final answer
    x = 761.03

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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.