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Finding the Fourth Proportional to 993.24, 1,490.40 and 602.28

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Solution

The fourth proportional to 993.24, 1,490.40 and 602.28 is: 903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,490.40 = 602.28 : x
  2. Step 2: Convert to fraction form
    993.24/1,490.40 = 602.28/x
  3. Step 3: Cross multiply
    993.24x = 1,490.40 × 602.28
  4. Step 4: Simplify right side
    993.24x = 897,638.11
  5. Step 5: Solve for x
    x = 897,638.11/993.24
  6. Step 6: Final answer
    x = 903.75

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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.