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Finding the Fourth Proportional to 510.17, 703.33 and 350.65

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Solution

The fourth proportional to 510.17, 703.33 and 350.65 is: 483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.17 : 703.33 = 350.65 : x
  2. Step 2: Convert to fraction form
    510.17/703.33 = 350.65/x
  3. Step 3: Cross multiply
    510.17x = 703.33 × 350.65
  4. Step 4: Simplify right side
    510.17x = 246,619.15
  5. Step 5: Solve for x
    x = 246,619.15/510.17
  6. Step 6: Final answer
    x = 483.41

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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.