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Finding the Fourth Proportional to 492.61, 738.75 and 460.25

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Solution

The fourth proportional to 492.61, 738.75 and 460.25 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.61 : 738.75 = 460.25 : x
  2. Step 2: Convert to fraction form
    492.61/738.75 = 460.25/x
  3. Step 3: Cross multiply
    492.61x = 738.75 × 460.25
  4. Step 4: Simplify right side
    492.61x = 340,009.69
  5. Step 5: Solve for x
    x = 340,009.69/492.61
  6. Step 6: Final answer
    x = 690.22

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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.