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Finding the Fourth Proportional to 1,507.98, 2,262.39 and 859.17

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Solution

The fourth proportional to 1,507.98, 2,262.39 and 859.17 is: 1,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.98 : 2,262.39 = 859.17 : x
  2. Step 2: Convert to fraction form
    1,507.98/2,262.39 = 859.17/x
  3. Step 3: Cross multiply
    1,507.98x = 2,262.39 × 859.17
  4. Step 4: Simplify right side
    1,507.98x = 1,943,777.62
  5. Step 5: Solve for x
    x = 1,943,777.62/1,507.98
  6. Step 6: Final answer
    x = 1,288.99

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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.