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Finding the Fourth Proportional to 912.72, 1,259.54 and 514.40

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Solution

The fourth proportional to 912.72, 1,259.54 and 514.40 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.72 : 1,259.54 = 514.40 : x
  2. Step 2: Convert to fraction form
    912.72/1,259.54 = 514.40/x
  3. Step 3: Cross multiply
    912.72x = 1,259.54 × 514.40
  4. Step 4: Simplify right side
    912.72x = 647,907.38
  5. Step 5: Solve for x
    x = 647,907.38/912.72
  6. Step 6: Final answer
    x = 709.86

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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.