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Finding the Fourth Proportional to 917.36, 1,265.64 and 563.12

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Solution

The fourth proportional to 917.36, 1,265.64 and 563.12 is: 776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.36 : 1,265.64 = 563.12 : x
  2. Step 2: Convert to fraction form
    917.36/1,265.64 = 563.12/x
  3. Step 3: Cross multiply
    917.36x = 1,265.64 × 563.12
  4. Step 4: Simplify right side
    917.36x = 712,707.20
  5. Step 5: Solve for x
    x = 712,707.20/917.36
  6. Step 6: Final answer
    x = 776.91

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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.