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Finding the Fourth Proportional to 524.03, 785.30 and 280.35

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Solution

The fourth proportional to 524.03, 785.30 and 280.35 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.03 : 785.30 = 280.35 : x
  2. Step 2: Convert to fraction form
    524.03/785.30 = 280.35/x
  3. Step 3: Cross multiply
    524.03x = 785.30 × 280.35
  4. Step 4: Simplify right side
    524.03x = 220,157.45
  5. Step 5: Solve for x
    x = 220,157.45/524.03
  6. Step 6: Final answer
    x = 420.13

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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.