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Finding the Fourth Proportional to 505.29, 752.64 and 498.99

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Solution

The fourth proportional to 505.29, 752.64 and 498.99 is: 743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.29 : 752.64 = 498.99 : x
  2. Step 2: Convert to fraction form
    505.29/752.64 = 498.99/x
  3. Step 3: Cross multiply
    505.29x = 752.64 × 498.99
  4. Step 4: Simplify right side
    505.29x = 375,559.83
  5. Step 5: Solve for x
    x = 375,559.83/505.29
  6. Step 6: Final answer
    x = 743.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.