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Finding the Fourth Proportional to 974.45, 1,459.64 and 454.89

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Solution

The fourth proportional to 974.45, 1,459.64 and 454.89 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.45 : 1,459.64 = 454.89 : x
  2. Step 2: Convert to fraction form
    974.45/1,459.64 = 454.89/x
  3. Step 3: Cross multiply
    974.45x = 1,459.64 × 454.89
  4. Step 4: Simplify right side
    974.45x = 663,973.37
  5. Step 5: Solve for x
    x = 663,973.37/974.45
  6. Step 6: Final answer
    x = 681.39

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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.