Home / 1,207.08-1,812.85-723.10

Finding the Fourth Proportional to 1,207.08, 1,812.85 and 723.10

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Solution

The fourth proportional to 1,207.08, 1,812.85 and 723.10 is: 1,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.08 : 1,812.85 = 723.10 : x
  2. Step 2: Convert to fraction form
    1,207.08/1,812.85 = 723.10/x
  3. Step 3: Cross multiply
    1,207.08x = 1,812.85 × 723.10
  4. Step 4: Simplify right side
    1,207.08x = 1,310,868.22
  5. Step 5: Solve for x
    x = 1,310,868.22/1,207.08
  6. Step 6: Final answer
    x = 1,085.99

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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.