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Finding the Fourth Proportional to 412.61, 621.36 and 359.15

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Solution

The fourth proportional to 412.61, 621.36 and 359.15 is: 540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.61 : 621.36 = 359.15 : x
  2. Step 2: Convert to fraction form
    412.61/621.36 = 359.15/x
  3. Step 3: Cross multiply
    412.61x = 621.36 × 359.15
  4. Step 4: Simplify right side
    412.61x = 223,159.89
  5. Step 5: Solve for x
    x = 223,159.89/412.61
  6. Step 6: Final answer
    x = 540.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.