Home / 1,657.66-2,287.43-976.22

Finding the Fourth Proportional to 1,657.66, 2,287.43 and 976.22

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Solution

The fourth proportional to 1,657.66, 2,287.43 and 976.22 is: 1,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.66 : 2,287.43 = 976.22 : x
  2. Step 2: Convert to fraction form
    1,657.66/2,287.43 = 976.22/x
  3. Step 3: Cross multiply
    1,657.66x = 2,287.43 × 976.22
  4. Step 4: Simplify right side
    1,657.66x = 2,233,034.91
  5. Step 5: Solve for x
    x = 2,233,034.91/1,657.66
  6. Step 6: Final answer
    x = 1,347.10

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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.