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Finding the Fourth Proportional to 524.92, 790.21 and 472

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Solution

The fourth proportional to 524.92, 790.21 and 472 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.92 : 790.21 = 472 : x
  2. Step 2: Convert to fraction form
    524.92/790.21 = 472/x
  3. Step 3: Cross multiply
    524.92x = 790.21 × 472
  4. Step 4: Simplify right side
    524.92x = 372,979.12
  5. Step 5: Solve for x
    x = 372,979.12/524.92
  6. Step 6: Final answer
    x = 710.54

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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.