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Finding the Fourth Proportional to 501.45, 691.85 and 305.03

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Solution

The fourth proportional to 501.45, 691.85 and 305.03 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.45 : 691.85 = 305.03 : x
  2. Step 2: Convert to fraction form
    501.45/691.85 = 305.03/x
  3. Step 3: Cross multiply
    501.45x = 691.85 × 305.03
  4. Step 4: Simplify right side
    501.45x = 211,030.02
  5. Step 5: Solve for x
    x = 211,030.02/501.45
  6. Step 6: Final answer
    x = 420.84

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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.