Home / 1,403.10-2,104.15-415.62

Finding the Fourth Proportional to 1,403.10, 2,104.15 and 415.62

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Solution

The fourth proportional to 1,403.10, 2,104.15 and 415.62 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.10 : 2,104.15 = 415.62 : x
  2. Step 2: Convert to fraction form
    1,403.10/2,104.15 = 415.62/x
  3. Step 3: Cross multiply
    1,403.10x = 2,104.15 × 415.62
  4. Step 4: Simplify right side
    1,403.10x = 874,526.82
  5. Step 5: Solve for x
    x = 874,526.82/1,403.10
  6. Step 6: Final answer
    x = 623.28

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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.