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Finding the Fourth Proportional to 959.84, 1,333.76 and 947.60

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Solution

The fourth proportional to 959.84, 1,333.76 and 947.60 is: 1,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.84 : 1,333.76 = 947.60 : x
  2. Step 2: Convert to fraction form
    959.84/1,333.76 = 947.60/x
  3. Step 3: Cross multiply
    959.84x = 1,333.76 × 947.60
  4. Step 4: Simplify right side
    959.84x = 1,263,870.98
  5. Step 5: Solve for x
    x = 1,263,870.98/959.84
  6. Step 6: Final answer
    x = 1,316.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.