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Finding the Fourth Proportional to 1,569.06, 2,165.40 and 870.45

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Solution

The fourth proportional to 1,569.06, 2,165.40 and 870.45 is: 1,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.06 : 2,165.40 = 870.45 : x
  2. Step 2: Convert to fraction form
    1,569.06/2,165.40 = 870.45/x
  3. Step 3: Cross multiply
    1,569.06x = 2,165.40 × 870.45
  4. Step 4: Simplify right side
    1,569.06x = 1,884,872.43
  5. Step 5: Solve for x
    x = 1,884,872.43/1,569.06
  6. Step 6: Final answer
    x = 1,201.27

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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.