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Finding the Fourth Proportional to 1,276.58, 1,915.83 and 546.66

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Solution

The fourth proportional to 1,276.58, 1,915.83 and 546.66 is: 820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.58 : 1,915.83 = 546.66 : x
  2. Step 2: Convert to fraction form
    1,276.58/1,915.83 = 546.66/x
  3. Step 3: Cross multiply
    1,276.58x = 1,915.83 × 546.66
  4. Step 4: Simplify right side
    1,276.58x = 1,047,307.63
  5. Step 5: Solve for x
    x = 1,047,307.63/1,276.58
  6. Step 6: Final answer
    x = 820.40

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Why These Related Problems?

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