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Finding the Fourth Proportional to 524.20, 735.50 and 524.20

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Solution

The fourth proportional to 524.20, 735.50 and 524.20 is: 735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 735.50 = 524.20 : x
  2. Step 2: Convert to fraction form
    524.20/735.50 = 524.20/x
  3. Step 3: Cross multiply
    524.20x = 735.50 × 524.20
  4. Step 4: Simplify right side
    524.20x = 385,549.10
  5. Step 5: Solve for x
    x = 385,549.10/524.20
  6. Step 6: Final answer
    x = 735.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.