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Finding the Fourth Proportional to 490.98, 740.04 and 464.52

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Solution

The fourth proportional to 490.98, 740.04 and 464.52 is: 700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 740.04 = 464.52 : x
  2. Step 2: Convert to fraction form
    490.98/740.04 = 464.52/x
  3. Step 3: Cross multiply
    490.98x = 740.04 × 464.52
  4. Step 4: Simplify right side
    490.98x = 343,763.38
  5. Step 5: Solve for x
    x = 343,763.38/490.98
  6. Step 6: Final answer
    x = 700.16

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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.