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Finding the Fourth Proportional to 1,564.54, 2,159.07 and 856.38

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Solution

The fourth proportional to 1,564.54, 2,159.07 and 856.38 is: 1,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.54 : 2,159.07 = 856.38 : x
  2. Step 2: Convert to fraction form
    1,564.54/2,159.07 = 856.38/x
  3. Step 3: Cross multiply
    1,564.54x = 2,159.07 × 856.38
  4. Step 4: Simplify right side
    1,564.54x = 1,848,984.37
  5. Step 5: Solve for x
    x = 1,848,984.37/1,564.54
  6. Step 6: Final answer
    x = 1,181.81

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1.5x scale

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.