Home / 1,531.71-2,297.70-477.45

Finding the Fourth Proportional to 1,531.71, 2,297.70 and 477.45

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Solution

The fourth proportional to 1,531.71, 2,297.70 and 477.45 is: 716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.71 : 2,297.70 = 477.45 : x
  2. Step 2: Convert to fraction form
    1,531.71/2,297.70 = 477.45/x
  3. Step 3: Cross multiply
    1,531.71x = 2,297.70 × 477.45
  4. Step 4: Simplify right side
    1,531.71x = 1,097,036.87
  5. Step 5: Solve for x
    x = 1,097,036.87/1,531.71
  6. Step 6: Final answer
    x = 716.22

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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.