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Finding the Fourth Proportional to 994.00, 1,490.98 and 474.37

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Solution

The fourth proportional to 994.00, 1,490.98 and 474.37 is: 711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.00 : 1,490.98 = 474.37 : x
  2. Step 2: Convert to fraction form
    994.00/1,490.98 = 474.37/x
  3. Step 3: Cross multiply
    994.00x = 1,490.98 × 474.37
  4. Step 4: Simplify right side
    994.00x = 707,271.95
  5. Step 5: Solve for x
    x = 707,271.95/994.00
  6. Step 6: Final answer
    x = 711.54

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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.