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Finding the Fourth Proportional to 514.51, 772.46 and 283.51

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Solution

The fourth proportional to 514.51, 772.46 and 283.51 is: 425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.51 : 772.46 = 283.51 : x
  2. Step 2: Convert to fraction form
    514.51/772.46 = 283.51/x
  3. Step 3: Cross multiply
    514.51x = 772.46 × 283.51
  4. Step 4: Simplify right side
    514.51x = 219,000.84
  5. Step 5: Solve for x
    x = 219,000.84/514.51
  6. Step 6: Final answer
    x = 425.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.