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Finding the Fourth Proportional to 662.79, 914.58 and 505.04

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Solution

The fourth proportional to 662.79, 914.58 and 505.04 is: 696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.79 : 914.58 = 505.04 : x
  2. Step 2: Convert to fraction form
    662.79/914.58 = 505.04/x
  3. Step 3: Cross multiply
    662.79x = 914.58 × 505.04
  4. Step 4: Simplify right side
    662.79x = 461,894.91
  5. Step 5: Solve for x
    x = 461,894.91/662.79
  6. Step 6: Final answer
    x = 696.89

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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.