Home / 1,649.59-2,276.67-977.49

Finding the Fourth Proportional to 1,649.59, 2,276.67 and 977.49

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Solution

The fourth proportional to 1,649.59, 2,276.67 and 977.49 is: 1,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.59 : 2,276.67 = 977.49 : x
  2. Step 2: Convert to fraction form
    1,649.59/2,276.67 = 977.49/x
  3. Step 3: Cross multiply
    1,649.59x = 2,276.67 × 977.49
  4. Step 4: Simplify right side
    1,649.59x = 2,225,422.16
  5. Step 5: Solve for x
    x = 2,225,422.16/1,649.59
  6. Step 6: Final answer
    x = 1,349.08

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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.