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Finding the Fourth Proportional to 558.58, 770.01 and 440.32

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Solution

The fourth proportional to 558.58, 770.01 and 440.32 is: 606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.58 : 770.01 = 440.32 : x
  2. Step 2: Convert to fraction form
    558.58/770.01 = 440.32/x
  3. Step 3: Cross multiply
    558.58x = 770.01 × 440.32
  4. Step 4: Simplify right side
    558.58x = 339,050.80
  5. Step 5: Solve for x
    x = 339,050.80/558.58
  6. Step 6: Final answer
    x = 606.99

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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.