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Finding the Fourth Proportional to 912.75, 1,259.60 and 563.64

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Solution

The fourth proportional to 912.75, 1,259.60 and 563.64 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.75 : 1,259.60 = 563.64 : x
  2. Step 2: Convert to fraction form
    912.75/1,259.60 = 563.64/x
  3. Step 3: Cross multiply
    912.75x = 1,259.60 × 563.64
  4. Step 4: Simplify right side
    912.75x = 709,958.13
  5. Step 5: Solve for x
    x = 709,958.13/912.75
  6. Step 6: Final answer
    x = 777.82

Related Problems

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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.