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Finding the Fourth Proportional to 510.98, 705.12 and 283.82

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Solution

The fourth proportional to 510.98, 705.12 and 283.82 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 705.12 = 283.82 : x
  2. Step 2: Convert to fraction form
    510.98/705.12 = 283.82/x
  3. Step 3: Cross multiply
    510.98x = 705.12 × 283.82
  4. Step 4: Simplify right side
    510.98x = 200,123.63
  5. Step 5: Solve for x
    x = 200,123.63/510.98
  6. Step 6: Final answer
    x = 391.65

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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.