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Finding the Fourth Proportional to 677.12, 931.71 and 519.69

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Solution

The fourth proportional to 677.12, 931.71 and 519.69 is: 715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.12 : 931.71 = 519.69 : x
  2. Step 2: Convert to fraction form
    677.12/931.71 = 519.69/x
  3. Step 3: Cross multiply
    677.12x = 931.71 × 519.69
  4. Step 4: Simplify right side
    677.12x = 484,195.71
  5. Step 5: Solve for x
    x = 484,195.71/677.12
  6. Step 6: Final answer
    x = 715.08

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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.