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Finding the Fourth Proportional to 498.16, 745.08 and 421.84

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Solution

The fourth proportional to 498.16, 745.08 and 421.84 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.16 : 745.08 = 421.84 : x
  2. Step 2: Convert to fraction form
    498.16/745.08 = 421.84/x
  3. Step 3: Cross multiply
    498.16x = 745.08 × 421.84
  4. Step 4: Simplify right side
    498.16x = 314,304.55
  5. Step 5: Solve for x
    x = 314,304.55/498.16
  6. Step 6: Final answer
    x = 630.93

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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.