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Finding the Fourth Proportional to 1,564.56, 2,159.10 and 865.94

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Solution

The fourth proportional to 1,564.56, 2,159.10 and 865.94 is: 1,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.56 : 2,159.10 = 865.94 : x
  2. Step 2: Convert to fraction form
    1,564.56/2,159.10 = 865.94/x
  3. Step 3: Cross multiply
    1,564.56x = 2,159.10 × 865.94
  4. Step 4: Simplify right side
    1,564.56x = 1,869,640.26
  5. Step 5: Solve for x
    x = 1,869,640.26/1,564.56
  6. Step 6: Final answer
    x = 1,194.99

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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.