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Finding the Fourth Proportional to 733.64, 1,012.89 and 654.82

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Solution

The fourth proportional to 733.64, 1,012.89 and 654.82 is: 904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.64 : 1,012.89 = 654.82 : x
  2. Step 2: Convert to fraction form
    733.64/1,012.89 = 654.82/x
  3. Step 3: Cross multiply
    733.64x = 1,012.89 × 654.82
  4. Step 4: Simplify right side
    733.64x = 663,258.10
  5. Step 5: Solve for x
    x = 663,258.10/733.64
  6. Step 6: Final answer
    x = 904.07

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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.