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Finding the Fourth Proportional to 524.51, 785.93 and 380.31

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Solution

The fourth proportional to 524.51, 785.93 and 380.31 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.51 : 785.93 = 380.31 : x
  2. Step 2: Convert to fraction form
    524.51/785.93 = 380.31/x
  3. Step 3: Cross multiply
    524.51x = 785.93 × 380.31
  4. Step 4: Simplify right side
    524.51x = 298,895.14
  5. Step 5: Solve for x
    x = 298,895.14/524.51
  6. Step 6: Final answer
    x = 569.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.