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Finding the Fourth Proportional to 742.09, 1,113.13 and 510.28

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Solution

The fourth proportional to 742.09, 1,113.13 and 510.28 is: 765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.09 : 1,113.13 = 510.28 : x
  2. Step 2: Convert to fraction form
    742.09/1,113.13 = 510.28/x
  3. Step 3: Cross multiply
    742.09x = 1,113.13 × 510.28
  4. Step 4: Simplify right side
    742.09x = 568,004.77
  5. Step 5: Solve for x
    x = 568,004.77/742.09
  6. Step 6: Final answer
    x = 765.41

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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.