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Finding the Fourth Proportional to 941.99, 1,411.63 and 826.16

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Solution

The fourth proportional to 941.99, 1,411.63 and 826.16 is: 1,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.99 : 1,411.63 = 826.16 : x
  2. Step 2: Convert to fraction form
    941.99/1,411.63 = 826.16/x
  3. Step 3: Cross multiply
    941.99x = 1,411.63 × 826.16
  4. Step 4: Simplify right side
    941.99x = 1,166,223.12
  5. Step 5: Solve for x
    x = 1,166,223.12/941.99
  6. Step 6: Final answer
    x = 1,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.