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Finding the Fourth Proportional to 1,050.70, 1,450.08 and 657.94

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Solution

The fourth proportional to 1,050.70, 1,450.08 and 657.94 is: 908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.70 : 1,450.08 = 657.94 : x
  2. Step 2: Convert to fraction form
    1,050.70/1,450.08 = 657.94/x
  3. Step 3: Cross multiply
    1,050.70x = 1,450.08 × 657.94
  4. Step 4: Simplify right side
    1,050.70x = 954,065.64
  5. Step 5: Solve for x
    x = 954,065.64/1,050.70
  6. Step 6: Final answer
    x = 908.03

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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.