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Finding the Fourth Proportional to 1,207.77, 1,811.64 and 558.15

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Solution

The fourth proportional to 1,207.77, 1,811.64 and 558.15 is: 837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.77 : 1,811.64 = 558.15 : x
  2. Step 2: Convert to fraction form
    1,207.77/1,811.64 = 558.15/x
  3. Step 3: Cross multiply
    1,207.77x = 1,811.64 × 558.15
  4. Step 4: Simplify right side
    1,207.77x = 1,011,166.87
  5. Step 5: Solve for x
    x = 1,011,166.87/1,207.77
  6. Step 6: Final answer
    x = 837.22

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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.