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Finding the Fourth Proportional to 501.60, 691.77 and 362.63

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Solution

The fourth proportional to 501.60, 691.77 and 362.63 is: 500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 691.77 = 362.63 : x
  2. Step 2: Convert to fraction form
    501.60/691.77 = 362.63/x
  3. Step 3: Cross multiply
    501.60x = 691.77 × 362.63
  4. Step 4: Simplify right side
    501.60x = 250,856.56
  5. Step 5: Solve for x
    x = 250,856.56/501.60
  6. Step 6: Final answer
    x = 500.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.