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Finding the Fourth Proportional to 1,578.05, 2,365.76 and 654.26

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Solution

The fourth proportional to 1,578.05, 2,365.76 and 654.26 is: 980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.05 : 2,365.76 = 654.26 : x
  2. Step 2: Convert to fraction form
    1,578.05/2,365.76 = 654.26/x
  3. Step 3: Cross multiply
    1,578.05x = 2,365.76 × 654.26
  4. Step 4: Simplify right side
    1,578.05x = 1,547,822.14
  5. Step 5: Solve for x
    x = 1,547,822.14/1,578.05
  6. Step 6: Final answer
    x = 980.85

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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.