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Finding the Fourth Proportional to 964.64, 1,328.54 and 831.83

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Solution

The fourth proportional to 964.64, 1,328.54 and 831.83 is: 1,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.64 : 1,328.54 = 831.83 : x
  2. Step 2: Convert to fraction form
    964.64/1,328.54 = 831.83/x
  3. Step 3: Cross multiply
    964.64x = 1,328.54 × 831.83
  4. Step 4: Simplify right side
    964.64x = 1,105,108.63
  5. Step 5: Solve for x
    x = 1,105,108.63/964.64
  6. Step 6: Final answer
    x = 1,145.62

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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.