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Finding the Fourth Proportional to 505.86, 763.18 and 504.51

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Solution

The fourth proportional to 505.86, 763.18 and 504.51 is: 761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 763.18 = 504.51 : x
  2. Step 2: Convert to fraction form
    505.86/763.18 = 504.51/x
  3. Step 3: Cross multiply
    505.86x = 763.18 × 504.51
  4. Step 4: Simplify right side
    505.86x = 385,031.94
  5. Step 5: Solve for x
    x = 385,031.94/505.86
  6. Step 6: Final answer
    x = 761.14

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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.