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Finding the Fourth Proportional to 945.17, 1,408.17 and 898.70

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Solution

The fourth proportional to 945.17, 1,408.17 and 898.70 is: 1,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.17 : 1,408.17 = 898.70 : x
  2. Step 2: Convert to fraction form
    945.17/1,408.17 = 898.70/x
  3. Step 3: Cross multiply
    945.17x = 1,408.17 × 898.70
  4. Step 4: Simplify right side
    945.17x = 1,265,515.34
  5. Step 5: Solve for x
    x = 1,265,515.34/945.17
  6. Step 6: Final answer
    x = 1,338.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.