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Finding the Fourth Proportional to 680.16, 937.70 and 509.68

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Solution

The fourth proportional to 680.16, 937.70 and 509.68 is: 702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.16 : 937.70 = 509.68 : x
  2. Step 2: Convert to fraction form
    680.16/937.70 = 509.68/x
  3. Step 3: Cross multiply
    680.16x = 937.70 × 509.68
  4. Step 4: Simplify right side
    680.16x = 477,923.63
  5. Step 5: Solve for x
    x = 477,923.63/680.16
  6. Step 6: Final answer
    x = 702.66

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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.