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Finding the Fourth Proportional to 524.76, 790.19 and 388.77

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Solution

The fourth proportional to 524.76, 790.19 and 388.77 is: 585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 790.19 = 388.77 : x
  2. Step 2: Convert to fraction form
    524.76/790.19 = 388.77/x
  3. Step 3: Cross multiply
    524.76x = 790.19 × 388.77
  4. Step 4: Simplify right side
    524.76x = 307,196.27
  5. Step 5: Solve for x
    x = 307,196.27/524.76
  6. Step 6: Final answer
    x = 585.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.