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Finding the Fourth Proportional to 676.77, 933.95 and 378.03

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Solution

The fourth proportional to 676.77, 933.95 and 378.03 is: 521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.77 : 933.95 = 378.03 : x
  2. Step 2: Convert to fraction form
    676.77/933.95 = 378.03/x
  3. Step 3: Cross multiply
    676.77x = 933.95 × 378.03
  4. Step 4: Simplify right side
    676.77x = 353,062.06
  5. Step 5: Solve for x
    x = 353,062.06/676.77
  6. Step 6: Final answer
    x = 521.69

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1.5x scale

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.