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Finding the Fourth Proportional to 836.18, 1,153.17 and 670.35

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Solution

The fourth proportional to 836.18, 1,153.17 and 670.35 is: 924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.18 : 1,153.17 = 670.35 : x
  2. Step 2: Convert to fraction form
    836.18/1,153.17 = 670.35/x
  3. Step 3: Cross multiply
    836.18x = 1,153.17 × 670.35
  4. Step 4: Simplify right side
    836.18x = 773,027.51
  5. Step 5: Solve for x
    x = 773,027.51/836.18
  6. Step 6: Final answer
    x = 924.48

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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.