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Finding the Fourth Proportional to 967.51, 1,333.76 and 635.36

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Solution

The fourth proportional to 967.51, 1,333.76 and 635.36 is: 875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.51 : 1,333.76 = 635.36 : x
  2. Step 2: Convert to fraction form
    967.51/1,333.76 = 635.36/x
  3. Step 3: Cross multiply
    967.51x = 1,333.76 × 635.36
  4. Step 4: Simplify right side
    967.51x = 847,417.75
  5. Step 5: Solve for x
    x = 847,417.75/967.51
  6. Step 6: Final answer
    x = 875.87

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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.