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Finding the Fourth Proportional to 750.46, 1,122.95 and 442.46

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Solution

The fourth proportional to 750.46, 1,122.95 and 442.46 is: 662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.46 : 1,122.95 = 442.46 : x
  2. Step 2: Convert to fraction form
    750.46/1,122.95 = 442.46/x
  3. Step 3: Cross multiply
    750.46x = 1,122.95 × 442.46
  4. Step 4: Simplify right side
    750.46x = 496,860.46
  5. Step 5: Solve for x
    x = 496,860.46/750.46
  6. Step 6: Final answer
    x = 662.07

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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.