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Finding the Fourth Proportional to 460.45, 689.76 and 295.52

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Solution

The fourth proportional to 460.45, 689.76 and 295.52 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.45 : 689.76 = 295.52 : x
  2. Step 2: Convert to fraction form
    460.45/689.76 = 295.52/x
  3. Step 3: Cross multiply
    460.45x = 689.76 × 295.52
  4. Step 4: Simplify right side
    460.45x = 203,839.60
  5. Step 5: Solve for x
    x = 203,839.60/460.45
  6. Step 6: Final answer
    x = 442.70

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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.