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Finding the Fourth Proportional to 967.08, 1,333.50 and 718.86

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Solution

The fourth proportional to 967.08, 1,333.50 and 718.86 is: 991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.08 : 1,333.50 = 718.86 : x
  2. Step 2: Convert to fraction form
    967.08/1,333.50 = 718.86/x
  3. Step 3: Cross multiply
    967.08x = 1,333.50 × 718.86
  4. Step 4: Simplify right side
    967.08x = 958,599.81
  5. Step 5: Solve for x
    x = 958,599.81/967.08
  6. Step 6: Final answer
    x = 991.23

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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.