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Finding the Fourth Proportional to 530.85, 735.73 and 522.96

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Solution

The fourth proportional to 530.85, 735.73 and 522.96 is: 724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.85 : 735.73 = 522.96 : x
  2. Step 2: Convert to fraction form
    530.85/735.73 = 522.96/x
  3. Step 3: Cross multiply
    530.85x = 735.73 × 522.96
  4. Step 4: Simplify right side
    530.85x = 384,756.24
  5. Step 5: Solve for x
    x = 384,756.24/530.85
  6. Step 6: Final answer
    x = 724.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.