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Finding the Fourth Proportional to 966.66, 1,334.32 and 651.72

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Solution

The fourth proportional to 966.66, 1,334.32 and 651.72 is: 899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.66 : 1,334.32 = 651.72 : x
  2. Step 2: Convert to fraction form
    966.66/1,334.32 = 651.72/x
  3. Step 3: Cross multiply
    966.66x = 1,334.32 × 651.72
  4. Step 4: Simplify right side
    966.66x = 869,598.90
  5. Step 5: Solve for x
    x = 869,598.90/966.66
  6. Step 6: Final answer
    x = 899.59

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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.