Home / 1,146.30-1,718.39-415.70

Finding the Fourth Proportional to 1,146.30, 1,718.39 and 415.70

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Solution

The fourth proportional to 1,146.30, 1,718.39 and 415.70 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.30 : 1,718.39 = 415.70 : x
  2. Step 2: Convert to fraction form
    1,146.30/1,718.39 = 415.70/x
  3. Step 3: Cross multiply
    1,146.30x = 1,718.39 × 415.70
  4. Step 4: Simplify right side
    1,146.30x = 714,326.13
  5. Step 5: Solve for x
    x = 714,326.13/1,146.30
  6. Step 6: Final answer
    x = 623.16

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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.