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Finding the Fourth Proportional to 1,208.24, 1,808.94 and 901.52

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Solution

The fourth proportional to 1,208.24, 1,808.94 and 901.52 is: 1,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.24 : 1,808.94 = 901.52 : x
  2. Step 2: Convert to fraction form
    1,208.24/1,808.94 = 901.52/x
  3. Step 3: Cross multiply
    1,208.24x = 1,808.94 × 901.52
  4. Step 4: Simplify right side
    1,208.24x = 1,630,795.59
  5. Step 5: Solve for x
    x = 1,630,795.59/1,208.24
  6. Step 6: Final answer
    x = 1,349.73

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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.