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Finding the Fourth Proportional to 1,210.62, 1,816.29 and 625.96

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Solution

The fourth proportional to 1,210.62, 1,816.29 and 625.96 is: 939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.62 : 1,816.29 = 625.96 : x
  2. Step 2: Convert to fraction form
    1,210.62/1,816.29 = 625.96/x
  3. Step 3: Cross multiply
    1,210.62x = 1,816.29 × 625.96
  4. Step 4: Simplify right side
    1,210.62x = 1,136,916.94
  5. Step 5: Solve for x
    x = 1,136,916.94/1,210.62
  6. Step 6: Final answer
    x = 939.12

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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.