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Finding the Fourth Proportional to 602, 830.81 and 340.07

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Solution

The fourth proportional to 602, 830.81 and 340.07 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 830.81 = 340.07 : x
  2. Step 2: Convert to fraction form
    602/830.81 = 340.07/x
  3. Step 3: Cross multiply
    602x = 830.81 × 340.07
  4. Step 4: Simplify right side
    602x = 282,533.56
  5. Step 5: Solve for x
    x = 282,533.56/602
  6. Step 6: Final answer
    x = 469.32

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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.