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Finding the Fourth Proportional to 1,578.48, 2,178.40 and 870.32

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Solution

The fourth proportional to 1,578.48, 2,178.40 and 870.32 is: 1,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.48 : 2,178.40 = 870.32 : x
  2. Step 2: Convert to fraction form
    1,578.48/2,178.40 = 870.32/x
  3. Step 3: Cross multiply
    1,578.48x = 2,178.40 × 870.32
  4. Step 4: Simplify right side
    1,578.48x = 1,895,905.09
  5. Step 5: Solve for x
    x = 1,895,905.09/1,578.48
  6. Step 6: Final answer
    x = 1,201.10

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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.