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Finding the Fourth Proportional to 1,560.54, 2,339.73 and 779.52

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Solution

The fourth proportional to 1,560.54, 2,339.73 and 779.52 is: 1,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.54 : 2,339.73 = 779.52 : x
  2. Step 2: Convert to fraction form
    1,560.54/2,339.73 = 779.52/x
  3. Step 3: Cross multiply
    1,560.54x = 2,339.73 × 779.52
  4. Step 4: Simplify right side
    1,560.54x = 1,823,866.33
  5. Step 5: Solve for x
    x = 1,823,866.33/1,560.54
  6. Step 6: Final answer
    x = 1,168.74

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1.5x scale

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.