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Finding the Fourth Proportional to 967.21, 1,334.71 and 525.10

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Solution

The fourth proportional to 967.21, 1,334.71 and 525.10 is: 724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.21 : 1,334.71 = 525.10 : x
  2. Step 2: Convert to fraction form
    967.21/1,334.71 = 525.10/x
  3. Step 3: Cross multiply
    967.21x = 1,334.71 × 525.10
  4. Step 4: Simplify right side
    967.21x = 700,858.55
  5. Step 5: Solve for x
    x = 700,858.55/967.21
  6. Step 6: Final answer
    x = 724.62

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1.5x scale

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.