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Finding the Fourth Proportional to 461.04, 688.19 and 427.20

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Solution

The fourth proportional to 461.04, 688.19 and 427.20 is: 637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.04 : 688.19 = 427.20 : x
  2. Step 2: Convert to fraction form
    461.04/688.19 = 427.20/x
  3. Step 3: Cross multiply
    461.04x = 688.19 × 427.20
  4. Step 4: Simplify right side
    461.04x = 293,994.77
  5. Step 5: Solve for x
    x = 293,994.77/461.04
  6. Step 6: Final answer
    x = 637.68

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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.