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Finding the Fourth Proportional to 1,568.40, 2,164.08 and 869.64

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Solution

The fourth proportional to 1,568.40, 2,164.08 and 869.64 is: 1,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.40 : 2,164.08 = 869.64 : x
  2. Step 2: Convert to fraction form
    1,568.40/2,164.08 = 869.64/x
  3. Step 3: Cross multiply
    1,568.40x = 2,164.08 × 869.64
  4. Step 4: Simplify right side
    1,568.40x = 1,881,970.53
  5. Step 5: Solve for x
    x = 1,881,970.53/1,568.40
  6. Step 6: Final answer
    x = 1,199.93

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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.