Home / 1,070.23-1,605.27-290.20

Finding the Fourth Proportional to 1,070.23, 1,605.27 and 290.20

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Solution

The fourth proportional to 1,070.23, 1,605.27 and 290.20 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.23 : 1,605.27 = 290.20 : x
  2. Step 2: Convert to fraction form
    1,070.23/1,605.27 = 290.20/x
  3. Step 3: Cross multiply
    1,070.23x = 1,605.27 × 290.20
  4. Step 4: Simplify right side
    1,070.23x = 465,849.35
  5. Step 5: Solve for x
    x = 465,849.35/1,070.23
  6. Step 6: Final answer
    x = 435.28

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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.