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Finding the Fourth Proportional to 1,205.92, 1,807.62 and 1,148.32

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Solution

The fourth proportional to 1,205.92, 1,807.62 and 1,148.32 is: 1,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.92 : 1,807.62 = 1,148.32 : x
  2. Step 2: Convert to fraction form
    1,205.92/1,807.62 = 1,148.32/x
  3. Step 3: Cross multiply
    1,205.92x = 1,807.62 × 1,148.32
  4. Step 4: Simplify right side
    1,205.92x = 2,075,726.20
  5. Step 5: Solve for x
    x = 2,075,726.20/1,205.92
  6. Step 6: Final answer
    x = 1,721.28

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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.