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Finding the Fourth Proportional to 500.37, 690.06 and 313.89

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Solution

The fourth proportional to 500.37, 690.06 and 313.89 is: 432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 690.06 = 313.89 : x
  2. Step 2: Convert to fraction form
    500.37/690.06 = 313.89/x
  3. Step 3: Cross multiply
    500.37x = 690.06 × 313.89
  4. Step 4: Simplify right side
    500.37x = 216,599.48
  5. Step 5: Solve for x
    x = 216,599.48/500.37
  6. Step 6: Final answer
    x = 432.88

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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.