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Finding the Fourth Proportional to 912.80, 1,259.40 and 563.12

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Solution

The fourth proportional to 912.80, 1,259.40 and 563.12 is: 776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.80 : 1,259.40 = 563.12 : x
  2. Step 2: Convert to fraction form
    912.80/1,259.40 = 563.12/x
  3. Step 3: Cross multiply
    912.80x = 1,259.40 × 563.12
  4. Step 4: Simplify right side
    912.80x = 709,193.33
  5. Step 5: Solve for x
    x = 709,193.33/912.80
  6. Step 6: Final answer
    x = 776.94

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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.