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Finding the Fourth Proportional to 664.61, 916.76 and 478.35

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Solution

The fourth proportional to 664.61, 916.76 and 478.35 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 916.76 = 478.35 : x
  2. Step 2: Convert to fraction form
    664.61/916.76 = 478.35/x
  3. Step 3: Cross multiply
    664.61x = 916.76 × 478.35
  4. Step 4: Simplify right side
    664.61x = 438,532.15
  5. Step 5: Solve for x
    x = 438,532.15/664.61
  6. Step 6: Final answer
    x = 659.83

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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.