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Finding the Fourth Proportional to 912.57, 1,259.30 and 514.23

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Solution

The fourth proportional to 912.57, 1,259.30 and 514.23 is: 709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.57 : 1,259.30 = 514.23 : x
  2. Step 2: Convert to fraction form
    912.57/1,259.30 = 514.23/x
  3. Step 3: Cross multiply
    912.57x = 1,259.30 × 514.23
  4. Step 4: Simplify right side
    912.57x = 647,569.84
  5. Step 5: Solve for x
    x = 647,569.84/912.57
  6. Step 6: Final answer
    x = 709.61

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Half scale
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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.