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Finding the Fourth Proportional to 746.51, 1,029.17 and 547.40

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Solution

The fourth proportional to 746.51, 1,029.17 and 547.40 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.51 : 1,029.17 = 547.40 : x
  2. Step 2: Convert to fraction form
    746.51/1,029.17 = 547.40/x
  3. Step 3: Cross multiply
    746.51x = 1,029.17 × 547.40
  4. Step 4: Simplify right side
    746.51x = 563,371.60
  5. Step 5: Solve for x
    x = 563,371.60/746.51
  6. Step 6: Final answer
    x = 754.68

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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.