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Finding the Fourth Proportional to 977.32, 1,466.07 and 283.99

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Solution

The fourth proportional to 977.32, 1,466.07 and 283.99 is: 426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,466.07 = 283.99 : x
  2. Step 2: Convert to fraction form
    977.32/1,466.07 = 283.99/x
  3. Step 3: Cross multiply
    977.32x = 1,466.07 × 283.99
  4. Step 4: Simplify right side
    977.32x = 416,348.56
  5. Step 5: Solve for x
    x = 416,348.56/977.32
  6. Step 6: Final answer
    x = 426.01

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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.