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Finding the Fourth Proportional to 602.20, 830.55 and 427.24

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Solution

The fourth proportional to 602.20, 830.55 and 427.24 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 830.55 = 427.24 : x
  2. Step 2: Convert to fraction form
    602.20/830.55 = 427.24/x
  3. Step 3: Cross multiply
    602.20x = 830.55 × 427.24
  4. Step 4: Simplify right side
    602.20x = 354,844.18
  5. Step 5: Solve for x
    x = 354,844.18/602.20
  6. Step 6: Final answer
    x = 589.25

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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.