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Finding the Fourth Proportional to 573.34, 790.46 and 468.31

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Solution

The fourth proportional to 573.34, 790.46 and 468.31 is: 645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.34 : 790.46 = 468.31 : x
  2. Step 2: Convert to fraction form
    573.34/790.46 = 468.31/x
  3. Step 3: Cross multiply
    573.34x = 790.46 × 468.31
  4. Step 4: Simplify right side
    573.34x = 370,180.32
  5. Step 5: Solve for x
    x = 370,180.32/573.34
  6. Step 6: Final answer
    x = 645.66

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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.