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Finding the Fourth Proportional to 1,654.36, 2,477.93 and 831.20

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Solution

The fourth proportional to 1,654.36, 2,477.93 and 831.20 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.36 : 2,477.93 = 831.20 : x
  2. Step 2: Convert to fraction form
    1,654.36/2,477.93 = 831.20/x
  3. Step 3: Cross multiply
    1,654.36x = 2,477.93 × 831.20
  4. Step 4: Simplify right side
    1,654.36x = 2,059,638.87
  5. Step 5: Solve for x
    x = 2,059,638.87/1,654.36
  6. Step 6: Final answer
    x = 1,244.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.