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Finding the Fourth Proportional to 1,160.49, 1,740.71 and 283

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Solution

The fourth proportional to 1,160.49, 1,740.71 and 283 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.49 : 1,740.71 = 283 : x
  2. Step 2: Convert to fraction form
    1,160.49/1,740.71 = 283/x
  3. Step 3: Cross multiply
    1,160.49x = 1,740.71 × 283
  4. Step 4: Simplify right side
    1,160.49x = 492,620.93
  5. Step 5: Solve for x
    x = 492,620.93/1,160.49
  6. Step 6: Final answer
    x = 424.49

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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.