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Finding the Fourth Proportional to 510.08, 703.76 and 323.60

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Solution

The fourth proportional to 510.08, 703.76 and 323.60 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 703.76 = 323.60 : x
  2. Step 2: Convert to fraction form
    510.08/703.76 = 323.60/x
  3. Step 3: Cross multiply
    510.08x = 703.76 × 323.60
  4. Step 4: Simplify right side
    510.08x = 227,736.74
  5. Step 5: Solve for x
    x = 227,736.74/510.08
  6. Step 6: Final answer
    x = 446.47

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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.