Home / 1,531.41-2,297.45-477.21

Finding the Fourth Proportional to 1,531.41, 2,297.45 and 477.21

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Solution

The fourth proportional to 1,531.41, 2,297.45 and 477.21 is: 715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.41 : 2,297.45 = 477.21 : x
  2. Step 2: Convert to fraction form
    1,531.41/2,297.45 = 477.21/x
  3. Step 3: Cross multiply
    1,531.41x = 2,297.45 × 477.21
  4. Step 4: Simplify right side
    1,531.41x = 1,096,366.11
  5. Step 5: Solve for x
    x = 1,096,366.11/1,531.41
  6. Step 6: Final answer
    x = 715.92

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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.