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Finding the Fourth Proportional to 602, 830.40 and 380.60

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Solution

The fourth proportional to 602, 830.40 and 380.60 is: 525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 830.40 = 380.60 : x
  2. Step 2: Convert to fraction form
    602/830.40 = 380.60/x
  3. Step 3: Cross multiply
    602x = 830.40 × 380.60
  4. Step 4: Simplify right side
    602x = 316,050.24
  5. Step 5: Solve for x
    x = 316,050.24/602
  6. Step 6: Final answer
    x = 525.00

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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.