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Finding the Fourth Proportional to 757.72, 1,045.41 and 442.98

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Solution

The fourth proportional to 757.72, 1,045.41 and 442.98 is: 611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.72 : 1,045.41 = 442.98 : x
  2. Step 2: Convert to fraction form
    757.72/1,045.41 = 442.98/x
  3. Step 3: Cross multiply
    757.72x = 1,045.41 × 442.98
  4. Step 4: Simplify right side
    757.72x = 463,093.51
  5. Step 5: Solve for x
    x = 463,093.51/757.72
  6. Step 6: Final answer
    x = 611.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.