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Finding the Fourth Proportional to 917.12, 1,266 and 567.92

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Solution

The fourth proportional to 917.12, 1,266 and 567.92 is: 783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.12 : 1,266 = 567.92 : x
  2. Step 2: Convert to fraction form
    917.12/1,266 = 567.92/x
  3. Step 3: Cross multiply
    917.12x = 1,266 × 567.92
  4. Step 4: Simplify right side
    917.12x = 718,986.72
  5. Step 5: Solve for x
    x = 718,986.72/917.12
  6. Step 6: Final answer
    x = 783.96

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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.