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Finding the Fourth Proportional to 664.19, 916.54 and 415.50

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Solution

The fourth proportional to 664.19, 916.54 and 415.50 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.19 : 916.54 = 415.50 : x
  2. Step 2: Convert to fraction form
    664.19/916.54 = 415.50/x
  3. Step 3: Cross multiply
    664.19x = 916.54 × 415.50
  4. Step 4: Simplify right side
    664.19x = 380,822.89
  5. Step 5: Solve for x
    x = 380,822.89/664.19
  6. Step 6: Final answer
    x = 573.36

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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.