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Finding the Fourth Proportional to 620.51, 931.85 and 457.61

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Solution

The fourth proportional to 620.51, 931.85 and 457.61 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.51 : 931.85 = 457.61 : x
  2. Step 2: Convert to fraction form
    620.51/931.85 = 457.61/x
  3. Step 3: Cross multiply
    620.51x = 931.85 × 457.61
  4. Step 4: Simplify right side
    620.51x = 426,421.59
  5. Step 5: Solve for x
    x = 426,421.59/620.51
  6. Step 6: Final answer
    x = 687.21

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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.