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Finding the Fourth Proportional to 1,143.37, 1,715.04 and 277.68

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Solution

The fourth proportional to 1,143.37, 1,715.04 and 277.68 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.37 : 1,715.04 = 277.68 : x
  2. Step 2: Convert to fraction form
    1,143.37/1,715.04 = 277.68/x
  3. Step 3: Cross multiply
    1,143.37x = 1,715.04 × 277.68
  4. Step 4: Simplify right side
    1,143.37x = 476,226.63
  5. Step 5: Solve for x
    x = 476,226.63/1,143.37
  6. Step 6: Final answer
    x = 416.51

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.