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Finding the Fourth Proportional to 977.75, 1,466.83 and 400.63

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Solution

The fourth proportional to 977.75, 1,466.83 and 400.63 is: 601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.75 : 1,466.83 = 400.63 : x
  2. Step 2: Convert to fraction form
    977.75/1,466.83 = 400.63/x
  3. Step 3: Cross multiply
    977.75x = 1,466.83 × 400.63
  4. Step 4: Simplify right side
    977.75x = 587,656.10
  5. Step 5: Solve for x
    x = 587,656.10/977.75
  6. Step 6: Final answer
    x = 601.03

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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.