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Finding the Fourth Proportional to 511.09, 761.22 and 505.01

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Solution

The fourth proportional to 511.09, 761.22 and 505.01 is: 752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 761.22 = 505.01 : x
  2. Step 2: Convert to fraction form
    511.09/761.22 = 505.01/x
  3. Step 3: Cross multiply
    511.09x = 761.22 × 505.01
  4. Step 4: Simplify right side
    511.09x = 384,423.71
  5. Step 5: Solve for x
    x = 384,423.71/511.09
  6. Step 6: Final answer
    x = 752.16

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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.