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Finding the Fourth Proportional to 912.74, 1,259.43 and 514.35

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Solution

The fourth proportional to 912.74, 1,259.43 and 514.35 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,259.43 = 514.35 : x
  2. Step 2: Convert to fraction form
    912.74/1,259.43 = 514.35/x
  3. Step 3: Cross multiply
    912.74x = 1,259.43 × 514.35
  4. Step 4: Simplify right side
    912.74x = 647,785.89
  5. Step 5: Solve for x
    x = 647,785.89/912.74
  6. Step 6: Final answer
    x = 709.72

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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.