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Finding the Fourth Proportional to 679.60, 937.02 and 513.28

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Solution

The fourth proportional to 679.60, 937.02 and 513.28 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.60 : 937.02 = 513.28 : x
  2. Step 2: Convert to fraction form
    679.60/937.02 = 513.28/x
  3. Step 3: Cross multiply
    679.60x = 937.02 × 513.28
  4. Step 4: Simplify right side
    679.60x = 480,953.63
  5. Step 5: Solve for x
    x = 480,953.63/679.60
  6. Step 6: Final answer
    x = 707.70

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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.