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Finding the Fourth Proportional to 918.74, 1,267.85 and 653.37

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Solution

The fourth proportional to 918.74, 1,267.85 and 653.37 is: 901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.74 : 1,267.85 = 653.37 : x
  2. Step 2: Convert to fraction form
    918.74/1,267.85 = 653.37/x
  3. Step 3: Cross multiply
    918.74x = 1,267.85 × 653.37
  4. Step 4: Simplify right side
    918.74x = 828,372.03
  5. Step 5: Solve for x
    x = 828,372.03/918.74
  6. Step 6: Final answer
    x = 901.64

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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.