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Finding the Fourth Proportional to 1,133.64, 1,564.38 and 661.50

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Solution

The fourth proportional to 1,133.64, 1,564.38 and 661.50 is: 912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.64 : 1,564.38 = 661.50 : x
  2. Step 2: Convert to fraction form
    1,133.64/1,564.38 = 661.50/x
  3. Step 3: Cross multiply
    1,133.64x = 1,564.38 × 661.50
  4. Step 4: Simplify right side
    1,133.64x = 1,034,837.37
  5. Step 5: Solve for x
    x = 1,034,837.37/1,133.64
  6. Step 6: Final answer
    x = 912.84

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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.