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Finding the Fourth Proportional to 831.44, 1,147.36 and 537.23

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Solution

The fourth proportional to 831.44, 1,147.36 and 537.23 is: 741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.44 : 1,147.36 = 537.23 : x
  2. Step 2: Convert to fraction form
    831.44/1,147.36 = 537.23/x
  3. Step 3: Cross multiply
    831.44x = 1,147.36 × 537.23
  4. Step 4: Simplify right side
    831.44x = 616,396.21
  5. Step 5: Solve for x
    x = 616,396.21/831.44
  6. Step 6: Final answer
    x = 741.36

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Half scale
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Double scale
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1.5x scale

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.