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Finding the Fourth Proportional to 1,568.89, 2,165.04 and 870.25

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Solution

The fourth proportional to 1,568.89, 2,165.04 and 870.25 is: 1,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.89 : 2,165.04 = 870.25 : x
  2. Step 2: Convert to fraction form
    1,568.89/2,165.04 = 870.25/x
  3. Step 3: Cross multiply
    1,568.89x = 2,165.04 × 870.25
  4. Step 4: Simplify right side
    1,568.89x = 1,884,126.06
  5. Step 5: Solve for x
    x = 1,884,126.06/1,568.89
  6. Step 6: Final answer
    x = 1,200.93

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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.