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Finding the Fourth Proportional to 1,133.77, 1,564.51 and 760.68

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Solution

The fourth proportional to 1,133.77, 1,564.51 and 760.68 is: 1,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.77 : 1,564.51 = 760.68 : x
  2. Step 2: Convert to fraction form
    1,133.77/1,564.51 = 760.68/x
  3. Step 3: Cross multiply
    1,133.77x = 1,564.51 × 760.68
  4. Step 4: Simplify right side
    1,133.77x = 1,190,091.47
  5. Step 5: Solve for x
    x = 1,190,091.47/1,133.77
  6. Step 6: Final answer
    x = 1,049.68

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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.