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Finding the Fourth Proportional to 977.99, 1,466.75 and 450.77

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Solution

The fourth proportional to 977.99, 1,466.75 and 450.77 is: 676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.99 : 1,466.75 = 450.77 : x
  2. Step 2: Convert to fraction form
    977.99/1,466.75 = 450.77/x
  3. Step 3: Cross multiply
    977.99x = 1,466.75 × 450.77
  4. Step 4: Simplify right side
    977.99x = 661,160.69
  5. Step 5: Solve for x
    x = 661,160.69/977.99
  6. Step 6: Final answer
    x = 676.04

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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.