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Finding the Fourth Proportional to 665.53, 916.85 and 465.99

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Solution

The fourth proportional to 665.53, 916.85 and 465.99 is: 641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.53 : 916.85 = 465.99 : x
  2. Step 2: Convert to fraction form
    665.53/916.85 = 465.99/x
  3. Step 3: Cross multiply
    665.53x = 916.85 × 465.99
  4. Step 4: Simplify right side
    665.53x = 427,242.93
  5. Step 5: Solve for x
    x = 427,242.93/665.53
  6. Step 6: Final answer
    x = 641.96

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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.