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Finding the Fourth Proportional to 985.21, 1,360.50 and 653.82

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Solution

The fourth proportional to 985.21, 1,360.50 and 653.82 is: 902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.21 : 1,360.50 = 653.82 : x
  2. Step 2: Convert to fraction form
    985.21/1,360.50 = 653.82/x
  3. Step 3: Cross multiply
    985.21x = 1,360.50 × 653.82
  4. Step 4: Simplify right side
    985.21x = 889,522.21
  5. Step 5: Solve for x
    x = 889,522.21/985.21
  6. Step 6: Final answer
    x = 902.87

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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.