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Finding the Fourth Proportional to 1,182.94, 1,629.74 and 934.17

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Solution

The fourth proportional to 1,182.94, 1,629.74 and 934.17 is: 1,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.94 : 1,629.74 = 934.17 : x
  2. Step 2: Convert to fraction form
    1,182.94/1,629.74 = 934.17/x
  3. Step 3: Cross multiply
    1,182.94x = 1,629.74 × 934.17
  4. Step 4: Simplify right side
    1,182.94x = 1,522,445.19
  5. Step 5: Solve for x
    x = 1,522,445.19/1,182.94
  6. Step 6: Final answer
    x = 1,287.00

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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.