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Finding the Fourth Proportional to 1,564.87, 2,159.56 and 856.75

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Solution

The fourth proportional to 1,564.87, 2,159.56 and 856.75 is: 1,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.87 : 2,159.56 = 856.75 : x
  2. Step 2: Convert to fraction form
    1,564.87/2,159.56 = 856.75/x
  3. Step 3: Cross multiply
    1,564.87x = 2,159.56 × 856.75
  4. Step 4: Simplify right side
    1,564.87x = 1,850,192.45
  5. Step 5: Solve for x
    x = 1,850,192.45/1,564.87
  6. Step 6: Final answer
    x = 1,182.33

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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.