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Finding the Fourth Proportional to 1,207.72, 1,811.76 and 558.10

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Solution

The fourth proportional to 1,207.72, 1,811.76 and 558.10 is: 837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.72 : 1,811.76 = 558.10 : x
  2. Step 2: Convert to fraction form
    1,207.72/1,811.76 = 558.10/x
  3. Step 3: Cross multiply
    1,207.72x = 1,811.76 × 558.10
  4. Step 4: Simplify right side
    1,207.72x = 1,011,143.26
  5. Step 5: Solve for x
    x = 1,011,143.26/1,207.72
  6. Step 6: Final answer
    x = 837.23

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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.