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Finding the Fourth Proportional to 1,106.25, 1,526.72 and 640.59

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Solution

The fourth proportional to 1,106.25, 1,526.72 and 640.59 is: 884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.25 : 1,526.72 = 640.59 : x
  2. Step 2: Convert to fraction form
    1,106.25/1,526.72 = 640.59/x
  3. Step 3: Cross multiply
    1,106.25x = 1,526.72 × 640.59
  4. Step 4: Simplify right side
    1,106.25x = 977,998.36
  5. Step 5: Solve for x
    x = 977,998.36/1,106.25
  6. Step 6: Final answer
    x = 884.07

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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.