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Finding the Fourth Proportional to 918.83, 1,267.96 and 520.48

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Solution

The fourth proportional to 918.83, 1,267.96 and 520.48 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.83 : 1,267.96 = 520.48 : x
  2. Step 2: Convert to fraction form
    918.83/1,267.96 = 520.48/x
  3. Step 3: Cross multiply
    918.83x = 1,267.96 × 520.48
  4. Step 4: Simplify right side
    918.83x = 659,947.82
  5. Step 5: Solve for x
    x = 659,947.82/918.83
  6. Step 6: Final answer
    x = 718.25

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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.