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Finding the Fourth Proportional to 676.65, 933.20 and 501.69

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Solution

The fourth proportional to 676.65, 933.20 and 501.69 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.65 : 933.20 = 501.69 : x
  2. Step 2: Convert to fraction form
    676.65/933.20 = 501.69/x
  3. Step 3: Cross multiply
    676.65x = 933.20 × 501.69
  4. Step 4: Simplify right side
    676.65x = 468,177.11
  5. Step 5: Solve for x
    x = 468,177.11/676.65
  6. Step 6: Final answer
    x = 691.90

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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.