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Finding the Fourth Proportional to 530.59, 796.16 and 415.27

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Solution

The fourth proportional to 530.59, 796.16 and 415.27 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.59 : 796.16 = 415.27 : x
  2. Step 2: Convert to fraction form
    530.59/796.16 = 415.27/x
  3. Step 3: Cross multiply
    530.59x = 796.16 × 415.27
  4. Step 4: Simplify right side
    530.59x = 330,621.36
  5. Step 5: Solve for x
    x = 330,621.36/530.59
  6. Step 6: Final answer
    x = 623.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.