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Finding the Fourth Proportional to 558.15, 770.61 and 523.30

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Solution

The fourth proportional to 558.15, 770.61 and 523.30 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.15 : 770.61 = 523.30 : x
  2. Step 2: Convert to fraction form
    558.15/770.61 = 523.30/x
  3. Step 3: Cross multiply
    558.15x = 770.61 × 523.30
  4. Step 4: Simplify right side
    558.15x = 403,260.21
  5. Step 5: Solve for x
    x = 403,260.21/558.15
  6. Step 6: Final answer
    x = 722.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.