Home / 1,506.65-2,257.55-928.31

Finding the Fourth Proportional to 1,506.65, 2,257.55 and 928.31

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Solution

The fourth proportional to 1,506.65, 2,257.55 and 928.31 is: 1,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.65 : 2,257.55 = 928.31 : x
  2. Step 2: Convert to fraction form
    1,506.65/2,257.55 = 928.31/x
  3. Step 3: Cross multiply
    1,506.65x = 2,257.55 × 928.31
  4. Step 4: Simplify right side
    1,506.65x = 2,095,707.24
  5. Step 5: Solve for x
    x = 2,095,707.24/1,506.65
  6. Step 6: Final answer
    x = 1,390.97

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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.