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Finding the Fourth Proportional to 530.24, 791.24 and 475.76

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Solution

The fourth proportional to 530.24, 791.24 and 475.76 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.24 : 791.24 = 475.76 : x
  2. Step 2: Convert to fraction form
    530.24/791.24 = 475.76/x
  3. Step 3: Cross multiply
    530.24x = 791.24 × 475.76
  4. Step 4: Simplify right side
    530.24x = 376,440.34
  5. Step 5: Solve for x
    x = 376,440.34/530.24
  6. Step 6: Final answer
    x = 709.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.