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Finding the Fourth Proportional to 501.92, 692.71 and 305.46

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Solution

The fourth proportional to 501.92, 692.71 and 305.46 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 692.71 = 305.46 : x
  2. Step 2: Convert to fraction form
    501.92/692.71 = 305.46/x
  3. Step 3: Cross multiply
    501.92x = 692.71 × 305.46
  4. Step 4: Simplify right side
    501.92x = 211,595.20
  5. Step 5: Solve for x
    x = 211,595.20/501.92
  6. Step 6: Final answer
    x = 421.57

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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.