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Finding the Fourth Proportional to 525.02, 724.63 and 315.37

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Solution

The fourth proportional to 525.02, 724.63 and 315.37 is: 435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.02 : 724.63 = 315.37 : x
  2. Step 2: Convert to fraction form
    525.02/724.63 = 315.37/x
  3. Step 3: Cross multiply
    525.02x = 724.63 × 315.37
  4. Step 4: Simplify right side
    525.02x = 228,522.94
  5. Step 5: Solve for x
    x = 228,522.94/525.02
  6. Step 6: Final answer
    x = 435.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.