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Finding the Fourth Proportional to 505.76, 695.49 and 490.40

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Solution

The fourth proportional to 505.76, 695.49 and 490.40 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.76 : 695.49 = 490.40 : x
  2. Step 2: Convert to fraction form
    505.76/695.49 = 490.40/x
  3. Step 3: Cross multiply
    505.76x = 695.49 × 490.40
  4. Step 4: Simplify right side
    505.76x = 341,068.30
  5. Step 5: Solve for x
    x = 341,068.30/505.76
  6. Step 6: Final answer
    x = 674.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.