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Finding the Fourth Proportional to 890.64, 1,334.02 and 646.62

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Solution

The fourth proportional to 890.64, 1,334.02 and 646.62 is: 968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.64 : 1,334.02 = 646.62 : x
  2. Step 2: Convert to fraction form
    890.64/1,334.02 = 646.62/x
  3. Step 3: Cross multiply
    890.64x = 1,334.02 × 646.62
  4. Step 4: Simplify right side
    890.64x = 862,604.01
  5. Step 5: Solve for x
    x = 862,604.01/890.64
  6. Step 6: Final answer
    x = 968.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.