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Finding the Fourth Proportional to 746.57, 1,030.38 and 537.44

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Solution

The fourth proportional to 746.57, 1,030.38 and 537.44 is: 741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.57 : 1,030.38 = 537.44 : x
  2. Step 2: Convert to fraction form
    746.57/1,030.38 = 537.44/x
  3. Step 3: Cross multiply
    746.57x = 1,030.38 × 537.44
  4. Step 4: Simplify right side
    746.57x = 553,760.26
  5. Step 5: Solve for x
    x = 553,760.26/746.57
  6. Step 6: Final answer
    x = 741.74

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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.