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Finding the Fourth Proportional to 524.83, 790.32 and 388.83

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Solution

The fourth proportional to 524.83, 790.32 and 388.83 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.83 : 790.32 = 388.83 : x
  2. Step 2: Convert to fraction form
    524.83/790.32 = 388.83/x
  3. Step 3: Cross multiply
    524.83x = 790.32 × 388.83
  4. Step 4: Simplify right side
    524.83x = 307,300.13
  5. Step 5: Solve for x
    x = 307,300.13/524.83
  6. Step 6: Final answer
    x = 585.52

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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.