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Finding the Fourth Proportional to 510.93, 701.30 and 483.59

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Solution

The fourth proportional to 510.93, 701.30 and 483.59 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.93 : 701.30 = 483.59 : x
  2. Step 2: Convert to fraction form
    510.93/701.30 = 483.59/x
  3. Step 3: Cross multiply
    510.93x = 701.30 × 483.59
  4. Step 4: Simplify right side
    510.93x = 339,144.63
  5. Step 5: Solve for x
    x = 339,144.63/510.93
  6. Step 6: Final answer
    x = 663.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.