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Finding the Fourth Proportional to 912.68, 1,259.32 and 514.24

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Solution

The fourth proportional to 912.68, 1,259.32 and 514.24 is: 709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.68 : 1,259.32 = 514.24 : x
  2. Step 2: Convert to fraction form
    912.68/1,259.32 = 514.24/x
  3. Step 3: Cross multiply
    912.68x = 1,259.32 × 514.24
  4. Step 4: Simplify right side
    912.68x = 647,592.72
  5. Step 5: Solve for x
    x = 647,592.72/912.68
  6. Step 6: Final answer
    x = 709.55

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Double scale
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1.5x scale

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.