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Finding the Fourth Proportional to 530.01, 729.77 and 481.41

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Solution

The fourth proportional to 530.01, 729.77 and 481.41 is: 662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.01 : 729.77 = 481.41 : x
  2. Step 2: Convert to fraction form
    530.01/729.77 = 481.41/x
  3. Step 3: Cross multiply
    530.01x = 729.77 × 481.41
  4. Step 4: Simplify right side
    530.01x = 351,316.17
  5. Step 5: Solve for x
    x = 351,316.17/530.01
  6. Step 6: Final answer
    x = 662.85

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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.