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Finding the Fourth Proportional to 461.90, 689.23 and 459.20

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Solution

The fourth proportional to 461.90, 689.23 and 459.20 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 689.23 = 459.20 : x
  2. Step 2: Convert to fraction form
    461.90/689.23 = 459.20/x
  3. Step 3: Cross multiply
    461.90x = 689.23 × 459.20
  4. Step 4: Simplify right side
    461.90x = 316,494.42
  5. Step 5: Solve for x
    x = 316,494.42/461.90
  6. Step 6: Final answer
    x = 685.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.