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Finding the Fourth Proportional to 1,039.01, 1,550.90 and 916.00

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Solution

The fourth proportional to 1,039.01, 1,550.90 and 916.00 is: 1,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.01 : 1,550.90 = 916.00 : x
  2. Step 2: Convert to fraction form
    1,039.01/1,550.90 = 916.00/x
  3. Step 3: Cross multiply
    1,039.01x = 1,550.90 × 916.00
  4. Step 4: Simplify right side
    1,039.01x = 1,420,622.81
  5. Step 5: Solve for x
    x = 1,420,622.81/1,039.01
  6. Step 6: Final answer
    x = 1,367.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.