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Finding the Fourth Proportional to 1,133.27, 1,698.70 and 474.98

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Solution

The fourth proportional to 1,133.27, 1,698.70 and 474.98 is: 711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.27 : 1,698.70 = 474.98 : x
  2. Step 2: Convert to fraction form
    1,133.27/1,698.70 = 474.98/x
  3. Step 3: Cross multiply
    1,133.27x = 1,698.70 × 474.98
  4. Step 4: Simplify right side
    1,133.27x = 806,838.85
  5. Step 5: Solve for x
    x = 806,838.85/1,133.27
  6. Step 6: Final answer
    x = 711.96

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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.