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Finding the Fourth Proportional to 1,712.66, 2,568.85 and 480.00

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Solution

The fourth proportional to 1,712.66, 2,568.85 and 480.00 is: 719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.66 : 2,568.85 = 480.00 : x
  2. Step 2: Convert to fraction form
    1,712.66/2,568.85 = 480.00/x
  3. Step 3: Cross multiply
    1,712.66x = 2,568.85 × 480.00
  4. Step 4: Simplify right side
    1,712.66x = 1,233,051.23
  5. Step 5: Solve for x
    x = 1,233,051.23/1,712.66
  6. Step 6: Final answer
    x = 719.96

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Why These Related Problems?

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