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Finding the Fourth Proportional to 912.14, 1,259.30 and 563.30

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Solution

The fourth proportional to 912.14, 1,259.30 and 563.30 is: 777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.14 : 1,259.30 = 563.30 : x
  2. Step 2: Convert to fraction form
    912.14/1,259.30 = 563.30/x
  3. Step 3: Cross multiply
    912.14x = 1,259.30 × 563.30
  4. Step 4: Simplify right side
    912.14x = 709,358.80
  5. Step 5: Solve for x
    x = 709,358.80/912.14
  6. Step 6: Final answer
    x = 777.69

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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.