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Finding the Fourth Proportional to 675.67, 933.30 and 498.99

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Solution

The fourth proportional to 675.67, 933.30 and 498.99 is: 689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.67 : 933.30 = 498.99 : x
  2. Step 2: Convert to fraction form
    675.67/933.30 = 498.99/x
  3. Step 3: Cross multiply
    675.67x = 933.30 × 498.99
  4. Step 4: Simplify right side
    675.67x = 465,707.37
  5. Step 5: Solve for x
    x = 465,707.37/675.67
  6. Step 6: Final answer
    x = 689.26

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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.