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Finding the Fourth Proportional to 1,497.68, 2,066.77 and 834.53

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Solution

The fourth proportional to 1,497.68, 2,066.77 and 834.53 is: 1,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.68 : 2,066.77 = 834.53 : x
  2. Step 2: Convert to fraction form
    1,497.68/2,066.77 = 834.53/x
  3. Step 3: Cross multiply
    1,497.68x = 2,066.77 × 834.53
  4. Step 4: Simplify right side
    1,497.68x = 1,724,781.57
  5. Step 5: Solve for x
    x = 1,724,781.57/1,497.68
  6. Step 6: Final answer
    x = 1,151.64

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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.