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Finding the Fourth Proportional to 1,100.83, 1,649.98 and 612.91

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Solution

The fourth proportional to 1,100.83, 1,649.98 and 612.91 is: 918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.83 : 1,649.98 = 612.91 : x
  2. Step 2: Convert to fraction form
    1,100.83/1,649.98 = 612.91/x
  3. Step 3: Cross multiply
    1,100.83x = 1,649.98 × 612.91
  4. Step 4: Simplify right side
    1,100.83x = 1,011,289.24
  5. Step 5: Solve for x
    x = 1,011,289.24/1,100.83
  6. Step 6: Final answer
    x = 918.66

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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.