Home / 1,064.08-1,466.76-974.80

Finding the Fourth Proportional to 1,064.08, 1,466.76 and 974.80

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Solution

The fourth proportional to 1,064.08, 1,466.76 and 974.80 is: 1,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.08 : 1,466.76 = 974.80 : x
  2. Step 2: Convert to fraction form
    1,064.08/1,466.76 = 974.80/x
  3. Step 3: Cross multiply
    1,064.08x = 1,466.76 × 974.80
  4. Step 4: Simplify right side
    1,064.08x = 1,429,797.65
  5. Step 5: Solve for x
    x = 1,429,797.65/1,064.08
  6. Step 6: Final answer
    x = 1,343.69

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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.