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Finding the Fourth Proportional to 405.84, 612.30 and 385.59

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Solution

The fourth proportional to 405.84, 612.30 and 385.59 is: 581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 612.30 = 385.59 : x
  2. Step 2: Convert to fraction form
    405.84/612.30 = 385.59/x
  3. Step 3: Cross multiply
    405.84x = 612.30 × 385.59
  4. Step 4: Simplify right side
    405.84x = 236,096.76
  5. Step 5: Solve for x
    x = 236,096.76/405.84
  6. Step 6: Final answer
    x = 581.75

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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.