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Finding the Fourth Proportional to 602.02, 830.70 and 415.98

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Solution

The fourth proportional to 602.02, 830.70 and 415.98 is: 573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.02 : 830.70 = 415.98 : x
  2. Step 2: Convert to fraction form
    602.02/830.70 = 415.98/x
  3. Step 3: Cross multiply
    602.02x = 830.70 × 415.98
  4. Step 4: Simplify right side
    602.02x = 345,554.59
  5. Step 5: Solve for x
    x = 345,554.59/602.02
  6. Step 6: Final answer
    x = 573.99

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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.