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Finding the Fourth Proportional to 524.60, 790 and 456.94

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Solution

The fourth proportional to 524.60, 790 and 456.94 is: 688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 790 = 456.94 : x
  2. Step 2: Convert to fraction form
    524.60/790 = 456.94/x
  3. Step 3: Cross multiply
    524.60x = 790 × 456.94
  4. Step 4: Simplify right side
    524.60x = 360,982.60
  5. Step 5: Solve for x
    x = 360,982.60/524.60
  6. Step 6: Final answer
    x = 688.11

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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.