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Finding the Fourth Proportional to 1,534.15, 2,300.80 and 546.83

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Solution

The fourth proportional to 1,534.15, 2,300.80 and 546.83 is: 820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.15 : 2,300.80 = 546.83 : x
  2. Step 2: Convert to fraction form
    1,534.15/2,300.80 = 546.83/x
  3. Step 3: Cross multiply
    1,534.15x = 2,300.80 × 546.83
  4. Step 4: Simplify right side
    1,534.15x = 1,258,146.46
  5. Step 5: Solve for x
    x = 1,258,146.46/1,534.15
  6. Step 6: Final answer
    x = 820.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.