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Finding the Fourth Proportional to 1,041.48, 1,564.25 and 766.49

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Solution

The fourth proportional to 1,041.48, 1,564.25 and 766.49 is: 1,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.48 : 1,564.25 = 766.49 : x
  2. Step 2: Convert to fraction form
    1,041.48/1,564.25 = 766.49/x
  3. Step 3: Cross multiply
    1,041.48x = 1,564.25 × 766.49
  4. Step 4: Simplify right side
    1,041.48x = 1,198,970.33
  5. Step 5: Solve for x
    x = 1,198,970.33/1,041.48
  6. Step 6: Final answer
    x = 1,151.22

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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.