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Finding the Fourth Proportional to 1,106.51, 1,527.05 and 640.76

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Solution

The fourth proportional to 1,106.51, 1,527.05 and 640.76 is: 884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.51 : 1,527.05 = 640.76 : x
  2. Step 2: Convert to fraction form
    1,106.51/1,527.05 = 640.76/x
  3. Step 3: Cross multiply
    1,106.51x = 1,527.05 × 640.76
  4. Step 4: Simplify right side
    1,106.51x = 978,466.52
  5. Step 5: Solve for x
    x = 978,466.52/1,106.51
  6. Step 6: Final answer
    x = 884.29

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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.