Home / 1,146.41-1,582.30-704.69

Finding the Fourth Proportional to 1,146.41, 1,582.30 and 704.69

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Solution

The fourth proportional to 1,146.41, 1,582.30 and 704.69 is: 972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.41 : 1,582.30 = 704.69 : x
  2. Step 2: Convert to fraction form
    1,146.41/1,582.30 = 704.69/x
  3. Step 3: Cross multiply
    1,146.41x = 1,582.30 × 704.69
  4. Step 4: Simplify right side
    1,146.41x = 1,115,030.99
  5. Step 5: Solve for x
    x = 1,115,030.99/1,146.41
  6. Step 6: Final answer
    x = 972.63

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1.5x scale

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.