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Finding the Fourth Proportional to 501.64, 692.14 and 305.14

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Solution

The fourth proportional to 501.64, 692.14 and 305.14 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 692.14 = 305.14 : x
  2. Step 2: Convert to fraction form
    501.64/692.14 = 305.14/x
  3. Step 3: Cross multiply
    501.64x = 692.14 × 305.14
  4. Step 4: Simplify right side
    501.64x = 211,199.60
  5. Step 5: Solve for x
    x = 211,199.60/501.64
  6. Step 6: Final answer
    x = 421.02

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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.