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Finding the Fourth Proportional to 676.31, 933.48 and 440.24

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Solution

The fourth proportional to 676.31, 933.48 and 440.24 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.31 : 933.48 = 440.24 : x
  2. Step 2: Convert to fraction form
    676.31/933.48 = 440.24/x
  3. Step 3: Cross multiply
    676.31x = 933.48 × 440.24
  4. Step 4: Simplify right side
    676.31x = 410,950.57
  5. Step 5: Solve for x
    x = 410,950.57/676.31
  6. Step 6: Final answer
    x = 607.64

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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.