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Finding the Fourth Proportional to 620.02, 855.60 and 340.24

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Solution

The fourth proportional to 620.02, 855.60 and 340.24 is: 469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.02 : 855.60 = 340.24 : x
  2. Step 2: Convert to fraction form
    620.02/855.60 = 340.24/x
  3. Step 3: Cross multiply
    620.02x = 855.60 × 340.24
  4. Step 4: Simplify right side
    620.02x = 291,109.34
  5. Step 5: Solve for x
    x = 291,109.34/620.02
  6. Step 6: Final answer
    x = 469.52

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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.