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Finding the Fourth Proportional to 659.96, 988.61 and 313.63

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Solution

The fourth proportional to 659.96, 988.61 and 313.63 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.96 : 988.61 = 313.63 : x
  2. Step 2: Convert to fraction form
    659.96/988.61 = 313.63/x
  3. Step 3: Cross multiply
    659.96x = 988.61 × 313.63
  4. Step 4: Simplify right side
    659.96x = 310,054.89
  5. Step 5: Solve for x
    x = 310,054.89/659.96
  6. Step 6: Final answer
    x = 469.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.