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Finding the Fourth Proportional to 1,564.92, 2,159.64 and 856.78

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Solution

The fourth proportional to 1,564.92, 2,159.64 and 856.78 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.92 : 2,159.64 = 856.78 : x
  2. Step 2: Convert to fraction form
    1,564.92/2,159.64 = 856.78/x
  3. Step 3: Cross multiply
    1,564.92x = 2,159.64 × 856.78
  4. Step 4: Simplify right side
    1,564.92x = 1,850,339.06
  5. Step 5: Solve for x
    x = 1,850,339.06/1,564.92
  6. Step 6: Final answer
    x = 1,182.38

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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.