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Finding the Fourth Proportional to 974.60, 1,461.08 and 666.02

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Solution

The fourth proportional to 974.60, 1,461.08 and 666.02 is: 998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.60 : 1,461.08 = 666.02 : x
  2. Step 2: Convert to fraction form
    974.60/1,461.08 = 666.02/x
  3. Step 3: Cross multiply
    974.60x = 1,461.08 × 666.02
  4. Step 4: Simplify right side
    974.60x = 973,097.87
  5. Step 5: Solve for x
    x = 973,097.87/974.60
  6. Step 6: Final answer
    x = 998.46

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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.