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Finding the Fourth Proportional to 573.25, 790.79 and 384.21

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Solution

The fourth proportional to 573.25, 790.79 and 384.21 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.25 : 790.79 = 384.21 : x
  2. Step 2: Convert to fraction form
    573.25/790.79 = 384.21/x
  3. Step 3: Cross multiply
    573.25x = 790.79 × 384.21
  4. Step 4: Simplify right side
    573.25x = 303,829.43
  5. Step 5: Solve for x
    x = 303,829.43/573.25
  6. Step 6: Final answer
    x = 530.01

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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.