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Finding the Fourth Proportional to 674.08, 931.09 and 515.75

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Solution

The fourth proportional to 674.08, 931.09 and 515.75 is: 712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.08 : 931.09 = 515.75 : x
  2. Step 2: Convert to fraction form
    674.08/931.09 = 515.75/x
  3. Step 3: Cross multiply
    674.08x = 931.09 × 515.75
  4. Step 4: Simplify right side
    674.08x = 480,210.71
  5. Step 5: Solve for x
    x = 480,210.71/674.08
  6. Step 6: Final answer
    x = 712.40

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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.