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Finding the Fourth Proportional to 497.70, 750.28 and 464.25

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Solution

The fourth proportional to 497.70, 750.28 and 464.25 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 750.28 = 464.25 : x
  2. Step 2: Convert to fraction form
    497.70/750.28 = 464.25/x
  3. Step 3: Cross multiply
    497.70x = 750.28 × 464.25
  4. Step 4: Simplify right side
    497.70x = 348,315.54
  5. Step 5: Solve for x
    x = 348,315.54/497.70
  6. Step 6: Final answer
    x = 699.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.