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Finding the Fourth Proportional to 676.83, 933.58 and 480.00

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Solution

The fourth proportional to 676.83, 933.58 and 480.00 is: 662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.83 : 933.58 = 480.00 : x
  2. Step 2: Convert to fraction form
    676.83/933.58 = 480.00/x
  3. Step 3: Cross multiply
    676.83x = 933.58 × 480.00
  4. Step 4: Simplify right side
    676.83x = 448,117.18
  5. Step 5: Solve for x
    x = 448,117.18/676.83
  6. Step 6: Final answer
    x = 662.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.