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Finding the Fourth Proportional to 831.51, 1,148.08 and 552.33

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Solution

The fourth proportional to 831.51, 1,148.08 and 552.33 is: 762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.51 : 1,148.08 = 552.33 : x
  2. Step 2: Convert to fraction form
    831.51/1,148.08 = 552.33/x
  3. Step 3: Cross multiply
    831.51x = 1,148.08 × 552.33
  4. Step 4: Simplify right side
    831.51x = 634,117.65
  5. Step 5: Solve for x
    x = 634,117.65/831.51
  6. Step 6: Final answer
    x = 762.61

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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.