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Finding the Fourth Proportional to 974.79, 1,461.40 and 665.87

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Solution

The fourth proportional to 974.79, 1,461.40 and 665.87 is: 998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.79 : 1,461.40 = 665.87 : x
  2. Step 2: Convert to fraction form
    974.79/1,461.40 = 665.87/x
  3. Step 3: Cross multiply
    974.79x = 1,461.40 × 665.87
  4. Step 4: Simplify right side
    974.79x = 973,093.45
  5. Step 5: Solve for x
    x = 973,093.45/974.79
  6. Step 6: Final answer
    x = 998.26

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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.