Home / 1,146.27-1,718.40-415.71

Finding the Fourth Proportional to 1,146.27, 1,718.40 and 415.71

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Solution

The fourth proportional to 1,146.27, 1,718.40 and 415.71 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.27 : 1,718.40 = 415.71 : x
  2. Step 2: Convert to fraction form
    1,146.27/1,718.40 = 415.71/x
  3. Step 3: Cross multiply
    1,146.27x = 1,718.40 × 415.71
  4. Step 4: Simplify right side
    1,146.27x = 714,356.06
  5. Step 5: Solve for x
    x = 714,356.06/1,146.27
  6. Step 6: Final answer
    x = 623.20

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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.