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Finding the Fourth Proportional to 3,323.90, 4,985.48 and 858.74

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Solution

The fourth proportional to 3,323.90, 4,985.48 and 858.74 is: 1,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.90 : 4,985.48 = 858.74 : x
  2. Step 2: Convert to fraction form
    3,323.90/4,985.48 = 858.74/x
  3. Step 3: Cross multiply
    3,323.90x = 4,985.48 × 858.74
  4. Step 4: Simplify right side
    3,323.90x = 4,281,208.31
  5. Step 5: Solve for x
    x = 4,281,208.31/3,323.90
  6. Step 6: Final answer
    x = 1,288.01

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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.