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Finding the Fourth Proportional to 1,133.63, 1,564.27 and 661.62

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Solution

The fourth proportional to 1,133.63, 1,564.27 and 661.62 is: 912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.63 : 1,564.27 = 661.62 : x
  2. Step 2: Convert to fraction form
    1,133.63/1,564.27 = 661.62/x
  3. Step 3: Cross multiply
    1,133.63x = 1,564.27 × 661.62
  4. Step 4: Simplify right side
    1,133.63x = 1,034,950.66
  5. Step 5: Solve for x
    x = 1,034,950.66/1,133.63
  6. Step 6: Final answer
    x = 912.96

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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.