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Finding the Fourth Proportional to 901.60, 1,244.64 and 528.64

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Solution

The fourth proportional to 901.60, 1,244.64 and 528.64 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.60 : 1,244.64 = 528.64 : x
  2. Step 2: Convert to fraction form
    901.60/1,244.64 = 528.64/x
  3. Step 3: Cross multiply
    901.60x = 1,244.64 × 528.64
  4. Step 4: Simplify right side
    901.60x = 657,966.49
  5. Step 5: Solve for x
    x = 657,966.49/901.60
  6. Step 6: Final answer
    x = 729.78

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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.