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Finding the Fourth Proportional to 525.02, 722.52 and 478.44

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Solution

The fourth proportional to 525.02, 722.52 and 478.44 is: 658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.02 : 722.52 = 478.44 : x
  2. Step 2: Convert to fraction form
    525.02/722.52 = 478.44/x
  3. Step 3: Cross multiply
    525.02x = 722.52 × 478.44
  4. Step 4: Simplify right side
    525.02x = 345,682.47
  5. Step 5: Solve for x
    x = 345,682.47/525.02
  6. Step 6: Final answer
    x = 658.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.