Home / 1,580.07-2,180.43-917.01

Finding the Fourth Proportional to 1,580.07, 2,180.43 and 917.01

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Solution

The fourth proportional to 1,580.07, 2,180.43 and 917.01 is: 1,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.07 : 2,180.43 = 917.01 : x
  2. Step 2: Convert to fraction form
    1,580.07/2,180.43 = 917.01/x
  3. Step 3: Cross multiply
    1,580.07x = 2,180.43 × 917.01
  4. Step 4: Simplify right side
    1,580.07x = 1,999,476.11
  5. Step 5: Solve for x
    x = 1,999,476.11/1,580.07
  6. Step 6: Final answer
    x = 1,265.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.