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Finding the Fourth Proportional to 1,548.12, 2,321.07 and 807.58

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Solution

The fourth proportional to 1,548.12, 2,321.07 and 807.58 is: 1,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.12 : 2,321.07 = 807.58 : x
  2. Step 2: Convert to fraction form
    1,548.12/2,321.07 = 807.58/x
  3. Step 3: Cross multiply
    1,548.12x = 2,321.07 × 807.58
  4. Step 4: Simplify right side
    1,548.12x = 1,874,449.71
  5. Step 5: Solve for x
    x = 1,874,449.71/1,548.12
  6. Step 6: Final answer
    x = 1,210.79

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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.