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Finding the Fourth Proportional to 510.64, 762.37 and 479.74

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Solution

The fourth proportional to 510.64, 762.37 and 479.74 is: 716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 762.37 = 479.74 : x
  2. Step 2: Convert to fraction form
    510.64/762.37 = 479.74/x
  3. Step 3: Cross multiply
    510.64x = 762.37 × 479.74
  4. Step 4: Simplify right side
    510.64x = 365,739.38
  5. Step 5: Solve for x
    x = 365,739.38/510.64
  6. Step 6: Final answer
    x = 716.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.