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Finding the Fourth Proportional to 505.62, 761.16 and 362.34

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Solution

The fourth proportional to 505.62, 761.16 and 362.34 is: 545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 761.16 = 362.34 : x
  2. Step 2: Convert to fraction form
    505.62/761.16 = 362.34/x
  3. Step 3: Cross multiply
    505.62x = 761.16 × 362.34
  4. Step 4: Simplify right side
    505.62x = 275,798.71
  5. Step 5: Solve for x
    x = 275,798.71/505.62
  6. Step 6: Final answer
    x = 545.47

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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.