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Finding the Fourth Proportional to 523.40, 789.02 and 488.16

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Solution

The fourth proportional to 523.40, 789.02 and 488.16 is: 735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 789.02 = 488.16 : x
  2. Step 2: Convert to fraction form
    523.40/789.02 = 488.16/x
  3. Step 3: Cross multiply
    523.40x = 789.02 × 488.16
  4. Step 4: Simplify right side
    523.40x = 385,168.00
  5. Step 5: Solve for x
    x = 385,168.00/523.40
  6. Step 6: Final answer
    x = 735.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.