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Finding the Fourth Proportional to 912.75, 1,259.60 and 564.05

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Solution

The fourth proportional to 912.75, 1,259.60 and 564.05 is: 778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.75 : 1,259.60 = 564.05 : x
  2. Step 2: Convert to fraction form
    912.75/1,259.60 = 564.05/x
  3. Step 3: Cross multiply
    912.75x = 1,259.60 × 564.05
  4. Step 4: Simplify right side
    912.75x = 710,468.26
  5. Step 5: Solve for x
    x = 710,468.26/912.75
  6. Step 6: Final answer
    x = 778.38

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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.