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Finding the Fourth Proportional to 897.42, 1,343.38 and 573.02

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Solution

The fourth proportional to 897.42, 1,343.38 and 573.02 is: 857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.42 : 1,343.38 = 573.02 : x
  2. Step 2: Convert to fraction form
    897.42/1,343.38 = 573.02/x
  3. Step 3: Cross multiply
    897.42x = 1,343.38 × 573.02
  4. Step 4: Simplify right side
    897.42x = 769,783.61
  5. Step 5: Solve for x
    x = 769,783.61/897.42
  6. Step 6: Final answer
    x = 857.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.