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Finding the Fourth Proportional to 1,548.64, 2,321.52 and 778.24

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Solution

The fourth proportional to 1,548.64, 2,321.52 and 778.24 is: 1,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.64 : 2,321.52 = 778.24 : x
  2. Step 2: Convert to fraction form
    1,548.64/2,321.52 = 778.24/x
  3. Step 3: Cross multiply
    1,548.64x = 2,321.52 × 778.24
  4. Step 4: Simplify right side
    1,548.64x = 1,806,699.72
  5. Step 5: Solve for x
    x = 1,806,699.72/1,548.64
  6. Step 6: Final answer
    x = 1,166.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.