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Finding the Fourth Proportional to 620.11, 929.35 and 457.03

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Solution

The fourth proportional to 620.11, 929.35 and 457.03 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.11 : 929.35 = 457.03 : x
  2. Step 2: Convert to fraction form
    620.11/929.35 = 457.03/x
  3. Step 3: Cross multiply
    620.11x = 929.35 × 457.03
  4. Step 4: Simplify right side
    620.11x = 424,740.83
  5. Step 5: Solve for x
    x = 424,740.83/620.11
  6. Step 6: Final answer
    x = 684.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.