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Finding the Fourth Proportional to 918.02, 1,266.87 and 498.37

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Solution

The fourth proportional to 918.02, 1,266.87 and 498.37 is: 687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.02 : 1,266.87 = 498.37 : x
  2. Step 2: Convert to fraction form
    918.02/1,266.87 = 498.37/x
  3. Step 3: Cross multiply
    918.02x = 1,266.87 × 498.37
  4. Step 4: Simplify right side
    918.02x = 631,373.92
  5. Step 5: Solve for x
    x = 631,373.92/918.02
  6. Step 6: Final answer
    x = 687.76

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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.