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Finding the Fourth Proportional to 573.66, 790.56 and 398.70

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Solution

The fourth proportional to 573.66, 790.56 and 398.70 is: 549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.66 : 790.56 = 398.70 : x
  2. Step 2: Convert to fraction form
    573.66/790.56 = 398.70/x
  3. Step 3: Cross multiply
    573.66x = 790.56 × 398.70
  4. Step 4: Simplify right side
    573.66x = 315,196.27
  5. Step 5: Solve for x
    x = 315,196.27/573.66
  6. Step 6: Final answer
    x = 549.45

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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.