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Finding the Fourth Proportional to 1,210.77, 1,669.92 and 812.30

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Solution

The fourth proportional to 1,210.77, 1,669.92 and 812.30 is: 1,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.77 : 1,669.92 = 812.30 : x
  2. Step 2: Convert to fraction form
    1,210.77/1,669.92 = 812.30/x
  3. Step 3: Cross multiply
    1,210.77x = 1,669.92 × 812.30
  4. Step 4: Simplify right side
    1,210.77x = 1,356,480.19
  5. Step 5: Solve for x
    x = 1,356,480.19/1,210.77
  6. Step 6: Final answer
    x = 1,120.35

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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.