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Finding the Fourth Proportional to 859.35, 1,184.80 and 701.83

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Solution

The fourth proportional to 859.35, 1,184.80 and 701.83 is: 967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.35 : 1,184.80 = 701.83 : x
  2. Step 2: Convert to fraction form
    859.35/1,184.80 = 701.83/x
  3. Step 3: Cross multiply
    859.35x = 1,184.80 × 701.83
  4. Step 4: Simplify right side
    859.35x = 831,528.18
  5. Step 5: Solve for x
    x = 831,528.18/859.35
  6. Step 6: Final answer
    x = 967.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.