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Finding the Fourth Proportional to 528.81, 789.21 and 462.63

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Solution

The fourth proportional to 528.81, 789.21 and 462.63 is: 690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.81 : 789.21 = 462.63 : x
  2. Step 2: Convert to fraction form
    528.81/789.21 = 462.63/x
  3. Step 3: Cross multiply
    528.81x = 789.21 × 462.63
  4. Step 4: Simplify right side
    528.81x = 365,112.22
  5. Step 5: Solve for x
    x = 365,112.22/528.81
  6. Step 6: Final answer
    x = 690.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.