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Finding the Fourth Proportional to 1,133.90, 1,564.20 and 760.92

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Solution

The fourth proportional to 1,133.90, 1,564.20 and 760.92 is: 1,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.90 : 1,564.20 = 760.92 : x
  2. Step 2: Convert to fraction form
    1,133.90/1,564.20 = 760.92/x
  3. Step 3: Cross multiply
    1,133.90x = 1,564.20 × 760.92
  4. Step 4: Simplify right side
    1,133.90x = 1,190,231.06
  5. Step 5: Solve for x
    x = 1,190,231.06/1,133.90
  6. Step 6: Final answer
    x = 1,049.68

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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.