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Finding the Fourth Proportional to 1,143.01, 1,713.75 and 558.01

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Solution

The fourth proportional to 1,143.01, 1,713.75 and 558.01 is: 836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.01 : 1,713.75 = 558.01 : x
  2. Step 2: Convert to fraction form
    1,143.01/1,713.75 = 558.01/x
  3. Step 3: Cross multiply
    1,143.01x = 1,713.75 × 558.01
  4. Step 4: Simplify right side
    1,143.01x = 956,289.64
  5. Step 5: Solve for x
    x = 956,289.64/1,143.01
  6. Step 6: Final answer
    x = 836.64

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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.