Home / 1,207.09-1,810.77-385.08

Finding the Fourth Proportional to 1,207.09, 1,810.77 and 385.08

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Solution

The fourth proportional to 1,207.09, 1,810.77 and 385.08 is: 577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.09 : 1,810.77 = 385.08 : x
  2. Step 2: Convert to fraction form
    1,207.09/1,810.77 = 385.08/x
  3. Step 3: Cross multiply
    1,207.09x = 1,810.77 × 385.08
  4. Step 4: Simplify right side
    1,207.09x = 697,291.31
  5. Step 5: Solve for x
    x = 697,291.31/1,207.09
  6. Step 6: Final answer
    x = 577.66

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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.