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Finding the Fourth Proportional to 734.58, 1,012.54 and 498.45

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Solution

The fourth proportional to 734.58, 1,012.54 and 498.45 is: 687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.58 : 1,012.54 = 498.45 : x
  2. Step 2: Convert to fraction form
    734.58/1,012.54 = 498.45/x
  3. Step 3: Cross multiply
    734.58x = 1,012.54 × 498.45
  4. Step 4: Simplify right side
    734.58x = 504,700.56
  5. Step 5: Solve for x
    x = 504,700.56/734.58
  6. Step 6: Final answer
    x = 687.06

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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.