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Finding the Fourth Proportional to 993.59, 1,490.06 and 928.88

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Solution

The fourth proportional to 993.59, 1,490.06 and 928.88 is: 1,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.59 : 1,490.06 = 928.88 : x
  2. Step 2: Convert to fraction form
    993.59/1,490.06 = 928.88/x
  3. Step 3: Cross multiply
    993.59x = 1,490.06 × 928.88
  4. Step 4: Simplify right side
    993.59x = 1,384,074.84
  5. Step 5: Solve for x
    x = 1,384,074.84/993.59
  6. Step 6: Final answer
    x = 1,393.01

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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.