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Finding the Fourth Proportional to 525.33, 723.24 and 456.30

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Solution

The fourth proportional to 525.33, 723.24 and 456.30 is: 628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.33 : 723.24 = 456.30 : x
  2. Step 2: Convert to fraction form
    525.33/723.24 = 456.30/x
  3. Step 3: Cross multiply
    525.33x = 723.24 × 456.30
  4. Step 4: Simplify right side
    525.33x = 330,014.41
  5. Step 5: Solve for x
    x = 330,014.41/525.33
  6. Step 6: Final answer
    x = 628.20

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Double scale
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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.