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Finding the Fourth Proportional to 918.77, 1,267.89 and 520.40

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Solution

The fourth proportional to 918.77, 1,267.89 and 520.40 is: 718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.77 : 1,267.89 = 520.40 : x
  2. Step 2: Convert to fraction form
    918.77/1,267.89 = 520.40/x
  3. Step 3: Cross multiply
    918.77x = 1,267.89 × 520.40
  4. Step 4: Simplify right side
    918.77x = 659,809.80
  5. Step 5: Solve for x
    x = 659,809.80/918.77
  6. Step 6: Final answer
    x = 718.15

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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.