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Finding the Fourth Proportional to 1,482.37, 2,221.98 and 750.40

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Solution

The fourth proportional to 1,482.37, 2,221.98 and 750.40 is: 1,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.37 : 2,221.98 = 750.40 : x
  2. Step 2: Convert to fraction form
    1,482.37/2,221.98 = 750.40/x
  3. Step 3: Cross multiply
    1,482.37x = 2,221.98 × 750.40
  4. Step 4: Simplify right side
    1,482.37x = 1,667,373.79
  5. Step 5: Solve for x
    x = 1,667,373.79/1,482.37
  6. Step 6: Final answer
    x = 1,124.80

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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.