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Finding the Fourth Proportional to 659.94, 988.46 and 544.12

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Solution

The fourth proportional to 659.94, 988.46 and 544.12 is: 814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.94 : 988.46 = 544.12 : x
  2. Step 2: Convert to fraction form
    659.94/988.46 = 544.12/x
  3. Step 3: Cross multiply
    659.94x = 988.46 × 544.12
  4. Step 4: Simplify right side
    659.94x = 537,840.86
  5. Step 5: Solve for x
    x = 537,840.86/659.94
  6. Step 6: Final answer
    x = 814.98

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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.