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Finding the Fourth Proportional to 1,041.41, 1,436.44 and 648.62

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Solution

The fourth proportional to 1,041.41, 1,436.44 and 648.62 is: 894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.41 : 1,436.44 = 648.62 : x
  2. Step 2: Convert to fraction form
    1,041.41/1,436.44 = 648.62/x
  3. Step 3: Cross multiply
    1,041.41x = 1,436.44 × 648.62
  4. Step 4: Simplify right side
    1,041.41x = 931,703.71
  5. Step 5: Solve for x
    x = 931,703.71/1,041.41
  6. Step 6: Final answer
    x = 894.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.