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Finding the Fourth Proportional to 816.35, 1,125.47 and 675.95

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Solution

The fourth proportional to 816.35, 1,125.47 and 675.95 is: 931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.35 : 1,125.47 = 675.95 : x
  2. Step 2: Convert to fraction form
    816.35/1,125.47 = 675.95/x
  3. Step 3: Cross multiply
    816.35x = 1,125.47 × 675.95
  4. Step 4: Simplify right side
    816.35x = 760,757.51
  5. Step 5: Solve for x
    x = 760,757.51/816.35
  6. Step 6: Final answer
    x = 931.91

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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.