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Finding the Fourth Proportional to 501.08, 692 and 414.68

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Solution

The fourth proportional to 501.08, 692 and 414.68 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.08 : 692 = 414.68 : x
  2. Step 2: Convert to fraction form
    501.08/692 = 414.68/x
  3. Step 3: Cross multiply
    501.08x = 692 × 414.68
  4. Step 4: Simplify right side
    501.08x = 286,958.56
  5. Step 5: Solve for x
    x = 286,958.56/501.08
  6. Step 6: Final answer
    x = 572.68

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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.