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Finding the Fourth Proportional to 510.70, 703.67 and 344.62

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Solution

The fourth proportional to 510.70, 703.67 and 344.62 is: 474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.70 : 703.67 = 344.62 : x
  2. Step 2: Convert to fraction form
    510.70/703.67 = 344.62/x
  3. Step 3: Cross multiply
    510.70x = 703.67 × 344.62
  4. Step 4: Simplify right side
    510.70x = 242,497.86
  5. Step 5: Solve for x
    x = 242,497.86/510.70
  6. Step 6: Final answer
    x = 474.84

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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.