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Finding the Fourth Proportional to 1,041.26, 1,561.88 and 456.84

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Solution

The fourth proportional to 1,041.26, 1,561.88 and 456.84 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.26 : 1,561.88 = 456.84 : x
  2. Step 2: Convert to fraction form
    1,041.26/1,561.88 = 456.84/x
  3. Step 3: Cross multiply
    1,041.26x = 1,561.88 × 456.84
  4. Step 4: Simplify right side
    1,041.26x = 713,529.26
  5. Step 5: Solve for x
    x = 713,529.26/1,041.26
  6. Step 6: Final answer
    x = 685.26

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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.