Home / 1,497.31-2,066.34-834.16

Finding the Fourth Proportional to 1,497.31, 2,066.34 and 834.16

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Solution

The fourth proportional to 1,497.31, 2,066.34 and 834.16 is: 1,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.31 : 2,066.34 = 834.16 : x
  2. Step 2: Convert to fraction form
    1,497.31/2,066.34 = 834.16/x
  3. Step 3: Cross multiply
    1,497.31x = 2,066.34 × 834.16
  4. Step 4: Simplify right side
    1,497.31x = 1,723,653.55
  5. Step 5: Solve for x
    x = 1,723,653.55/1,497.31
  6. Step 6: Final answer
    x = 1,151.17

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1.5x scale

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.