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Finding the Fourth Proportional to 918.54, 1,264.86 and 817.50

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Solution

The fourth proportional to 918.54, 1,264.86 and 817.50 is: 1,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.54 : 1,264.86 = 817.50 : x
  2. Step 2: Convert to fraction form
    918.54/1,264.86 = 817.50/x
  3. Step 3: Cross multiply
    918.54x = 1,264.86 × 817.50
  4. Step 4: Simplify right side
    918.54x = 1,034,023.05
  5. Step 5: Solve for x
    x = 1,034,023.05/918.54
  6. Step 6: Final answer
    x = 1,125.72

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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.