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Finding the Fourth Proportional to 404.61, 558.69 and 384.24

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Solution

The fourth proportional to 404.61, 558.69 and 384.24 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.61 : 558.69 = 384.24 : x
  2. Step 2: Convert to fraction form
    404.61/558.69 = 384.24/x
  3. Step 3: Cross multiply
    404.61x = 558.69 × 384.24
  4. Step 4: Simplify right side
    404.61x = 214,671.05
  5. Step 5: Solve for x
    x = 214,671.05/404.61
  6. Step 6: Final answer
    x = 530.56

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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.