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Finding the Fourth Proportional to 977.41, 1,466.57 and 490.78

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Solution

The fourth proportional to 977.41, 1,466.57 and 490.78 is: 736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.41 : 1,466.57 = 490.78 : x
  2. Step 2: Convert to fraction form
    977.41/1,466.57 = 490.78/x
  3. Step 3: Cross multiply
    977.41x = 1,466.57 × 490.78
  4. Step 4: Simplify right side
    977.41x = 719,763.22
  5. Step 5: Solve for x
    x = 719,763.22/977.41
  6. Step 6: Final answer
    x = 736.40

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Double scale
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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.