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Finding the Fourth Proportional to 525.12, 784.66 and 401.04

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Solution

The fourth proportional to 525.12, 784.66 and 401.04 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.12 : 784.66 = 401.04 : x
  2. Step 2: Convert to fraction form
    525.12/784.66 = 401.04/x
  3. Step 3: Cross multiply
    525.12x = 784.66 × 401.04
  4. Step 4: Simplify right side
    525.12x = 314,680.05
  5. Step 5: Solve for x
    x = 314,680.05/525.12
  6. Step 6: Final answer
    x = 599.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.