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Finding the Fourth Proportional to 1,210.88, 1,669.80 and 812.66

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Solution

The fourth proportional to 1,210.88, 1,669.80 and 812.66 is: 1,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.88 : 1,669.80 = 812.66 : x
  2. Step 2: Convert to fraction form
    1,210.88/1,669.80 = 812.66/x
  3. Step 3: Cross multiply
    1,210.88x = 1,669.80 × 812.66
  4. Step 4: Simplify right side
    1,210.88x = 1,356,979.67
  5. Step 5: Solve for x
    x = 1,356,979.67/1,210.88
  6. Step 6: Final answer
    x = 1,120.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.