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Finding the Fourth Proportional to 1,564.33, 2,159.01 and 901.03

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Solution

The fourth proportional to 1,564.33, 2,159.01 and 901.03 is: 1,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.33 : 2,159.01 = 901.03 : x
  2. Step 2: Convert to fraction form
    1,564.33/2,159.01 = 901.03/x
  3. Step 3: Cross multiply
    1,564.33x = 2,159.01 × 901.03
  4. Step 4: Simplify right side
    1,564.33x = 1,945,332.78
  5. Step 5: Solve for x
    x = 1,945,332.78/1,564.33
  6. Step 6: Final answer
    x = 1,243.56

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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.