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Finding the Fourth Proportional to 573.57, 790.43 and 442.17

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Solution

The fourth proportional to 573.57, 790.43 and 442.17 is: 609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.57 : 790.43 = 442.17 : x
  2. Step 2: Convert to fraction form
    573.57/790.43 = 442.17/x
  3. Step 3: Cross multiply
    573.57x = 790.43 × 442.17
  4. Step 4: Simplify right side
    573.57x = 349,502.22
  5. Step 5: Solve for x
    x = 349,502.22/573.57
  6. Step 6: Final answer
    x = 609.35

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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.