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Finding the Fourth Proportional to 525.38, 725.04 and 289.35

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Solution

The fourth proportional to 525.38, 725.04 and 289.35 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.38 : 725.04 = 289.35 : x
  2. Step 2: Convert to fraction form
    525.38/725.04 = 289.35/x
  3. Step 3: Cross multiply
    525.38x = 725.04 × 289.35
  4. Step 4: Simplify right side
    525.38x = 209,790.32
  5. Step 5: Solve for x
    x = 209,790.32/525.38
  6. Step 6: Final answer
    x = 399.32

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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.