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Finding the Fourth Proportional to 998.03, 1,495.65 and 632.60

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Solution

The fourth proportional to 998.03, 1,495.65 and 632.60 is: 948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.03 : 1,495.65 = 632.60 : x
  2. Step 2: Convert to fraction form
    998.03/1,495.65 = 632.60/x
  3. Step 3: Cross multiply
    998.03x = 1,495.65 × 632.60
  4. Step 4: Simplify right side
    998.03x = 946,148.19
  5. Step 5: Solve for x
    x = 946,148.19/998.03
  6. Step 6: Final answer
    x = 948.02

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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.