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Finding the Fourth Proportional to 1,578.34, 2,365.78 and 653.40

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Solution

The fourth proportional to 1,578.34, 2,365.78 and 653.40 is: 979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.34 : 2,365.78 = 653.40 : x
  2. Step 2: Convert to fraction form
    1,578.34/2,365.78 = 653.40/x
  3. Step 3: Cross multiply
    1,578.34x = 2,365.78 × 653.40
  4. Step 4: Simplify right side
    1,578.34x = 1,545,799.02
  5. Step 5: Solve for x
    x = 1,545,799.02/1,578.34
  6. Step 6: Final answer
    x = 979.38

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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.