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Finding the Fourth Proportional to 993.47, 1,490.21 and 415.94

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Solution

The fourth proportional to 993.47, 1,490.21 and 415.94 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.47 : 1,490.21 = 415.94 : x
  2. Step 2: Convert to fraction form
    993.47/1,490.21 = 415.94/x
  3. Step 3: Cross multiply
    993.47x = 1,490.21 × 415.94
  4. Step 4: Simplify right side
    993.47x = 619,837.95
  5. Step 5: Solve for x
    x = 619,837.95/993.47
  6. Step 6: Final answer
    x = 623.91

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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.