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Finding the Fourth Proportional to 993.78, 1,490.91 and 977.25

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Solution

The fourth proportional to 993.78, 1,490.91 and 977.25 is: 1,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.78 : 1,490.91 = 977.25 : x
  2. Step 2: Convert to fraction form
    993.78/1,490.91 = 977.25/x
  3. Step 3: Cross multiply
    993.78x = 1,490.91 × 977.25
  4. Step 4: Simplify right side
    993.78x = 1,456,991.63
  5. Step 5: Solve for x
    x = 1,456,991.63/993.78
  6. Step 6: Final answer
    x = 1,466.11

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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.