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Finding the Fourth Proportional to 602.02, 830.78 and 340.03

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Solution

The fourth proportional to 602.02, 830.78 and 340.03 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.02 : 830.78 = 340.03 : x
  2. Step 2: Convert to fraction form
    602.02/830.78 = 340.03/x
  3. Step 3: Cross multiply
    602.02x = 830.78 × 340.03
  4. Step 4: Simplify right side
    602.02x = 282,491.69
  5. Step 5: Solve for x
    x = 282,491.69/602.02
  6. Step 6: Final answer
    x = 469.24

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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.