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Finding the Fourth Proportional to 1,386.41, 2,076.57 and 653.76

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Solution

The fourth proportional to 1,386.41, 2,076.57 and 653.76 is: 979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.41 : 2,076.57 = 653.76 : x
  2. Step 2: Convert to fraction form
    1,386.41/2,076.57 = 653.76/x
  3. Step 3: Cross multiply
    1,386.41x = 2,076.57 × 653.76
  4. Step 4: Simplify right side
    1,386.41x = 1,357,578.40
  5. Step 5: Solve for x
    x = 1,357,578.40/1,386.41
  6. Step 6: Final answer
    x = 979.21

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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.