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Finding the Fourth Proportional to 838.90, 1,157.22 and 524.08

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Solution

The fourth proportional to 838.90, 1,157.22 and 524.08 is: 722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.90 : 1,157.22 = 524.08 : x
  2. Step 2: Convert to fraction form
    838.90/1,157.22 = 524.08/x
  3. Step 3: Cross multiply
    838.90x = 1,157.22 × 524.08
  4. Step 4: Simplify right side
    838.90x = 606,475.86
  5. Step 5: Solve for x
    x = 606,475.86/838.90
  6. Step 6: Final answer
    x = 722.94

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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.