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Finding the Fourth Proportional to 603.23, 830.53 and 525.57

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Solution

The fourth proportional to 603.23, 830.53 and 525.57 is: 723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.23 : 830.53 = 525.57 : x
  2. Step 2: Convert to fraction form
    603.23/830.53 = 525.57/x
  3. Step 3: Cross multiply
    603.23x = 830.53 × 525.57
  4. Step 4: Simplify right side
    603.23x = 436,502.39
  5. Step 5: Solve for x
    x = 436,502.39/603.23
  6. Step 6: Final answer
    x = 723.61

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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.