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Finding the Fourth Proportional to 404.55, 608.04 and 384.30

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Solution

The fourth proportional to 404.55, 608.04 and 384.30 is: 577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.55 : 608.04 = 384.30 : x
  2. Step 2: Convert to fraction form
    404.55/608.04 = 384.30/x
  3. Step 3: Cross multiply
    404.55x = 608.04 × 384.30
  4. Step 4: Simplify right side
    404.55x = 233,669.77
  5. Step 5: Solve for x
    x = 233,669.77/404.55
  6. Step 6: Final answer
    x = 577.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.