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Finding the Fourth Proportional to 1,146.57, 1,718.81 and 415.98

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Solution

The fourth proportional to 1,146.57, 1,718.81 and 415.98 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.57 : 1,718.81 = 415.98 : x
  2. Step 2: Convert to fraction form
    1,146.57/1,718.81 = 415.98/x
  3. Step 3: Cross multiply
    1,146.57x = 1,718.81 × 415.98
  4. Step 4: Simplify right side
    1,146.57x = 714,990.58
  5. Step 5: Solve for x
    x = 714,990.58/1,146.57
  6. Step 6: Final answer
    x = 623.59

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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.