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Finding the Fourth Proportional to 1,307.75, 1,959.80 and 895.86

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Solution

The fourth proportional to 1,307.75, 1,959.80 and 895.86 is: 1,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.75 : 1,959.80 = 895.86 : x
  2. Step 2: Convert to fraction form
    1,307.75/1,959.80 = 895.86/x
  3. Step 3: Cross multiply
    1,307.75x = 1,959.80 × 895.86
  4. Step 4: Simplify right side
    1,307.75x = 1,755,701.95
  5. Step 5: Solve for x
    x = 1,755,701.95/1,307.75
  6. Step 6: Final answer
    x = 1,342.54

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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.