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Finding the Fourth Proportional to 1,146.54, 1,718.77 and 415.95

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Solution

The fourth proportional to 1,146.54, 1,718.77 and 415.95 is: 623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.54 : 1,718.77 = 415.95 : x
  2. Step 2: Convert to fraction form
    1,146.54/1,718.77 = 415.95/x
  3. Step 3: Cross multiply
    1,146.54x = 1,718.77 × 415.95
  4. Step 4: Simplify right side
    1,146.54x = 714,922.38
  5. Step 5: Solve for x
    x = 714,922.38/1,146.54
  6. Step 6: Final answer
    x = 623.55

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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.