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Finding the Fourth Proportional to 831.92, 1,148.01 and 482.72

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Solution

The fourth proportional to 831.92, 1,148.01 and 482.72 is: 666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.92 : 1,148.01 = 482.72 : x
  2. Step 2: Convert to fraction form
    831.92/1,148.01 = 482.72/x
  3. Step 3: Cross multiply
    831.92x = 1,148.01 × 482.72
  4. Step 4: Simplify right side
    831.92x = 554,167.39
  5. Step 5: Solve for x
    x = 554,167.39/831.92
  6. Step 6: Final answer
    x = 666.13

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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.