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Finding the Fourth Proportional to 490.70, 734.70 and 477.20

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Solution

The fourth proportional to 490.70, 734.70 and 477.20 is: 714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 734.70 = 477.20 : x
  2. Step 2: Convert to fraction form
    490.70/734.70 = 477.20/x
  3. Step 3: Cross multiply
    490.70x = 734.70 × 477.20
  4. Step 4: Simplify right side
    490.70x = 350,598.84
  5. Step 5: Solve for x
    x = 350,598.84/490.70
  6. Step 6: Final answer
    x = 714.49

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1.5x scale

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.