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Finding the Fourth Proportional to 831.39, 1,147.57 and 536.65

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Solution

The fourth proportional to 831.39, 1,147.57 and 536.65 is: 740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.39 : 1,147.57 = 536.65 : x
  2. Step 2: Convert to fraction form
    831.39/1,147.57 = 536.65/x
  3. Step 3: Cross multiply
    831.39x = 1,147.57 × 536.65
  4. Step 4: Simplify right side
    831.39x = 615,843.44
  5. Step 5: Solve for x
    x = 615,843.44/831.39
  6. Step 6: Final answer
    x = 740.74

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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.