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Finding the Fourth Proportional to 573.60, 857.40 and 444

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Solution

The fourth proportional to 573.60, 857.40 and 444 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.60 : 857.40 = 444 : x
  2. Step 2: Convert to fraction form
    573.60/857.40 = 444/x
  3. Step 3: Cross multiply
    573.60x = 857.40 × 444
  4. Step 4: Simplify right side
    573.60x = 380,685.60
  5. Step 5: Solve for x
    x = 380,685.60/573.60
  6. Step 6: Final answer
    x = 663.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.