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Finding the Fourth Proportional to 507.93, 756.65 and 484.44

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Solution

The fourth proportional to 507.93, 756.65 and 484.44 is: 721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.93 : 756.65 = 484.44 : x
  2. Step 2: Convert to fraction form
    507.93/756.65 = 484.44/x
  3. Step 3: Cross multiply
    507.93x = 756.65 × 484.44
  4. Step 4: Simplify right side
    507.93x = 366,551.53
  5. Step 5: Solve for x
    x = 366,551.53/507.93
  6. Step 6: Final answer
    x = 721.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.