Home / 1,146.30-1,582.20-704.40

Finding the Fourth Proportional to 1,146.30, 1,582.20 and 704.40

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Solution

The fourth proportional to 1,146.30, 1,582.20 and 704.40 is: 972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.30 : 1,582.20 = 704.40 : x
  2. Step 2: Convert to fraction form
    1,146.30/1,582.20 = 704.40/x
  3. Step 3: Cross multiply
    1,146.30x = 1,582.20 × 704.40
  4. Step 4: Simplify right side
    1,146.30x = 1,114,501.68
  5. Step 5: Solve for x
    x = 1,114,501.68/1,146.30
  6. Step 6: Final answer
    x = 972.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.