Home / 1,580.31-2,180.58-917.03

Finding the Fourth Proportional to 1,580.31, 2,180.58 and 917.03

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Solution

The fourth proportional to 1,580.31, 2,180.58 and 917.03 is: 1,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.31 : 2,180.58 = 917.03 : x
  2. Step 2: Convert to fraction form
    1,580.31/2,180.58 = 917.03/x
  3. Step 3: Cross multiply
    1,580.31x = 2,180.58 × 917.03
  4. Step 4: Simplify right side
    1,580.31x = 1,999,657.28
  5. Step 5: Solve for x
    x = 1,999,657.28/1,580.31
  6. Step 6: Final answer
    x = 1,265.36

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1.5x scale

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.