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Finding the Fourth Proportional to 835.63, 1,153.17 and 486.32

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Solution

The fourth proportional to 835.63, 1,153.17 and 486.32 is: 671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.63 : 1,153.17 = 486.32 : x
  2. Step 2: Convert to fraction form
    835.63/1,153.17 = 486.32/x
  3. Step 3: Cross multiply
    835.63x = 1,153.17 × 486.32
  4. Step 4: Simplify right side
    835.63x = 560,809.63
  5. Step 5: Solve for x
    x = 560,809.63/835.63
  6. Step 6: Final answer
    x = 671.13

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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.