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Finding the Fourth Proportional to 862.95, 1,294.73 and 376.35

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Solution

The fourth proportional to 862.95, 1,294.73 and 376.35 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.95 : 1,294.73 = 376.35 : x
  2. Step 2: Convert to fraction form
    862.95/1,294.73 = 376.35/x
  3. Step 3: Cross multiply
    862.95x = 1,294.73 × 376.35
  4. Step 4: Simplify right side
    862.95x = 487,271.64
  5. Step 5: Solve for x
    x = 487,271.64/862.95
  6. Step 6: Final answer
    x = 564.66

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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.