Home / 1,218.29-1,827.27-730.16

Finding the Fourth Proportional to 1,218.29, 1,827.27 and 730.16

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Solution

The fourth proportional to 1,218.29, 1,827.27 and 730.16 is: 1,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.29 : 1,827.27 = 730.16 : x
  2. Step 2: Convert to fraction form
    1,218.29/1,827.27 = 730.16/x
  3. Step 3: Cross multiply
    1,218.29x = 1,827.27 × 730.16
  4. Step 4: Simplify right side
    1,218.29x = 1,334,199.46
  5. Step 5: Solve for x
    x = 1,334,199.46/1,218.29
  6. Step 6: Final answer
    x = 1,095.14

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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.