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Finding the Fourth Proportional to 475, 708.58 and 402.33

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Solution

The fourth proportional to 475, 708.58 and 402.33 is: 600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475 : 708.58 = 402.33 : x
  2. Step 2: Convert to fraction form
    475/708.58 = 402.33/x
  3. Step 3: Cross multiply
    475x = 708.58 × 402.33
  4. Step 4: Simplify right side
    475x = 285,082.99
  5. Step 5: Solve for x
    x = 285,082.99/475
  6. Step 6: Final answer
    x = 600.17

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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.