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Finding the Fourth Proportional to 460.59, 689.27 and 351.51

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Solution

The fourth proportional to 460.59, 689.27 and 351.51 is: 526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 689.27 = 351.51 : x
  2. Step 2: Convert to fraction form
    460.59/689.27 = 351.51/x
  3. Step 3: Cross multiply
    460.59x = 689.27 × 351.51
  4. Step 4: Simplify right side
    460.59x = 242,283.54
  5. Step 5: Solve for x
    x = 242,283.54/460.59
  6. Step 6: Final answer
    x = 526.03

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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.