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Finding the Fourth Proportional to 934.69, 1,289.88 and 515.05

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Solution

The fourth proportional to 934.69, 1,289.88 and 515.05 is: 710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.69 : 1,289.88 = 515.05 : x
  2. Step 2: Convert to fraction form
    934.69/1,289.88 = 515.05/x
  3. Step 3: Cross multiply
    934.69x = 1,289.88 × 515.05
  4. Step 4: Simplify right side
    934.69x = 664,343.67
  5. Step 5: Solve for x
    x = 664,343.67/934.69
  6. Step 6: Final answer
    x = 710.77

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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.