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Finding the Fourth Proportional to 1,099.17, 1,649.03 and 612.63

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Solution

The fourth proportional to 1,099.17, 1,649.03 and 612.63 is: 919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.17 : 1,649.03 = 612.63 : x
  2. Step 2: Convert to fraction form
    1,099.17/1,649.03 = 612.63/x
  3. Step 3: Cross multiply
    1,099.17x = 1,649.03 × 612.63
  4. Step 4: Simplify right side
    1,099.17x = 1,010,242.19
  5. Step 5: Solve for x
    x = 1,010,242.19/1,099.17
  6. Step 6: Final answer
    x = 919.10

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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.