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Finding the Fourth Proportional to 525.12, 723.01 and 446.28

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Solution

The fourth proportional to 525.12, 723.01 and 446.28 is: 614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.12 : 723.01 = 446.28 : x
  2. Step 2: Convert to fraction form
    525.12/723.01 = 446.28/x
  3. Step 3: Cross multiply
    525.12x = 723.01 × 446.28
  4. Step 4: Simplify right side
    525.12x = 322,664.90
  5. Step 5: Solve for x
    x = 322,664.90/525.12
  6. Step 6: Final answer
    x = 614.46

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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.