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Finding the Fourth Proportional to 757.56, 1,045.72 and 678.74

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Solution

The fourth proportional to 757.56, 1,045.72 and 678.74 is: 936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.56 : 1,045.72 = 678.74 : x
  2. Step 2: Convert to fraction form
    757.56/1,045.72 = 678.74/x
  3. Step 3: Cross multiply
    757.56x = 1,045.72 × 678.74
  4. Step 4: Simplify right side
    757.56x = 709,771.99
  5. Step 5: Solve for x
    x = 709,771.99/757.56
  6. Step 6: Final answer
    x = 936.92

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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.