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Finding the Fourth Proportional to 1,054.86, 1,584.36 and 644.82

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Solution

The fourth proportional to 1,054.86, 1,584.36 and 644.82 is: 968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.86 : 1,584.36 = 644.82 : x
  2. Step 2: Convert to fraction form
    1,054.86/1,584.36 = 644.82/x
  3. Step 3: Cross multiply
    1,054.86x = 1,584.36 × 644.82
  4. Step 4: Simplify right side
    1,054.86x = 1,021,627.02
  5. Step 5: Solve for x
    x = 1,021,627.02/1,054.86
  6. Step 6: Final answer
    x = 968.50

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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.