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Finding the Fourth Proportional to 744.03, 1,026 and 510.75

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Solution

The fourth proportional to 744.03, 1,026 and 510.75 is: 704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.03 : 1,026 = 510.75 : x
  2. Step 2: Convert to fraction form
    744.03/1,026 = 510.75/x
  3. Step 3: Cross multiply
    744.03x = 1,026 × 510.75
  4. Step 4: Simplify right side
    744.03x = 524,029.50
  5. Step 5: Solve for x
    x = 524,029.50/744.03
  6. Step 6: Final answer
    x = 704.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.