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Finding the Fourth Proportional to 1,210.68, 1,670.10 and 767.82

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Solution

The fourth proportional to 1,210.68, 1,670.10 and 767.82 is: 1,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.68 : 1,670.10 = 767.82 : x
  2. Step 2: Convert to fraction form
    1,210.68/1,670.10 = 767.82/x
  3. Step 3: Cross multiply
    1,210.68x = 1,670.10 × 767.82
  4. Step 4: Simplify right side
    1,210.68x = 1,282,336.18
  5. Step 5: Solve for x
    x = 1,282,336.18/1,210.68
  6. Step 6: Final answer
    x = 1,059.19

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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.