Home / 1,575.10-2,362.65-405.10

Finding the Fourth Proportional to 1,575.10, 2,362.65 and 405.10

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Solution

The fourth proportional to 1,575.10, 2,362.65 and 405.10 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.10 : 2,362.65 = 405.10 : x
  2. Step 2: Convert to fraction form
    1,575.10/2,362.65 = 405.10/x
  3. Step 3: Cross multiply
    1,575.10x = 2,362.65 × 405.10
  4. Step 4: Simplify right side
    1,575.10x = 957,109.52
  5. Step 5: Solve for x
    x = 957,109.52/1,575.10
  6. Step 6: Final answer
    x = 607.65

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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.