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Finding the Fourth Proportional to 602.06, 830.52 and 381.06

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Solution

The fourth proportional to 602.06, 830.52 and 381.06 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.06 : 830.52 = 381.06 : x
  2. Step 2: Convert to fraction form
    602.06/830.52 = 381.06/x
  3. Step 3: Cross multiply
    602.06x = 830.52 × 381.06
  4. Step 4: Simplify right side
    602.06x = 316,477.95
  5. Step 5: Solve for x
    x = 316,477.95/602.06
  6. Step 6: Final answer
    x = 525.66

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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.