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Finding the Fourth Proportional to 505.08, 763.34 and 505.08

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Solution

The fourth proportional to 505.08, 763.34 and 505.08 is: 763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 763.34 = 505.08 : x
  2. Step 2: Convert to fraction form
    505.08/763.34 = 505.08/x
  3. Step 3: Cross multiply
    505.08x = 763.34 × 505.08
  4. Step 4: Simplify right side
    505.08x = 385,547.77
  5. Step 5: Solve for x
    x = 385,547.77/505.08
  6. Step 6: Final answer
    x = 763.34

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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.