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Finding the Fourth Proportional to 838.69, 1,157.56 and 524.00

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Solution

The fourth proportional to 838.69, 1,157.56 and 524.00 is: 723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.69 : 1,157.56 = 524.00 : x
  2. Step 2: Convert to fraction form
    838.69/1,157.56 = 524.00/x
  3. Step 3: Cross multiply
    838.69x = 1,157.56 × 524.00
  4. Step 4: Simplify right side
    838.69x = 606,563.02
  5. Step 5: Solve for x
    x = 606,563.02/838.69
  6. Step 6: Final answer
    x = 723.23

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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.