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Finding the Fourth Proportional to 461.40, 688.89 and 415.32

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Solution

The fourth proportional to 461.40, 688.89 and 415.32 is: 620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 688.89 = 415.32 : x
  2. Step 2: Convert to fraction form
    461.40/688.89 = 415.32/x
  3. Step 3: Cross multiply
    461.40x = 688.89 × 415.32
  4. Step 4: Simplify right side
    461.40x = 286,109.79
  5. Step 5: Solve for x
    x = 286,109.79/461.40
  6. Step 6: Final answer
    x = 620.09

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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.