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Finding the Fourth Proportional to 500.00, 690.66 and 402.12

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Solution

The fourth proportional to 500.00, 690.66 and 402.12 is: 555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.00 : 690.66 = 402.12 : x
  2. Step 2: Convert to fraction form
    500.00/690.66 = 402.12/x
  3. Step 3: Cross multiply
    500.00x = 690.66 × 402.12
  4. Step 4: Simplify right side
    500.00x = 277,728.20
  5. Step 5: Solve for x
    x = 277,728.20/500.00
  6. Step 6: Final answer
    x = 555.46

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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.