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Finding the Fourth Proportional to 1,172.75, 1,618.40 and 648.82

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Solution

The fourth proportional to 1,172.75, 1,618.40 and 648.82 is: 895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.75 : 1,618.40 = 648.82 : x
  2. Step 2: Convert to fraction form
    1,172.75/1,618.40 = 648.82/x
  3. Step 3: Cross multiply
    1,172.75x = 1,618.40 × 648.82
  4. Step 4: Simplify right side
    1,172.75x = 1,050,038.95
  5. Step 5: Solve for x
    x = 1,050,038.95/1,172.75
  6. Step 6: Final answer
    x = 895.36

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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.