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Finding the Fourth Proportional to 810.79, 1,212.83 and 614.31

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Solution

The fourth proportional to 810.79, 1,212.83 and 614.31 is: 918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.79 : 1,212.83 = 614.31 : x
  2. Step 2: Convert to fraction form
    810.79/1,212.83 = 614.31/x
  3. Step 3: Cross multiply
    810.79x = 1,212.83 × 614.31
  4. Step 4: Simplify right side
    810.79x = 745,055.13
  5. Step 5: Solve for x
    x = 745,055.13/810.79
  6. Step 6: Final answer
    x = 918.93

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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.