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Finding the Fourth Proportional to 573.42, 854.82 and 564.54

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Solution

The fourth proportional to 573.42, 854.82 and 564.54 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.42 : 854.82 = 564.54 : x
  2. Step 2: Convert to fraction form
    573.42/854.82 = 564.54/x
  3. Step 3: Cross multiply
    573.42x = 854.82 × 564.54
  4. Step 4: Simplify right side
    573.42x = 482,580.08
  5. Step 5: Solve for x
    x = 482,580.08/573.42
  6. Step 6: Final answer
    x = 841.58

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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.