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Finding the Fourth Proportional to 918.08, 1,266.88 and 607.68

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Solution

The fourth proportional to 918.08, 1,266.88 and 607.68 is: 838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,266.88 = 607.68 : x
  2. Step 2: Convert to fraction form
    918.08/1,266.88 = 607.68/x
  3. Step 3: Cross multiply
    918.08x = 1,266.88 × 607.68
  4. Step 4: Simplify right side
    918.08x = 769,857.64
  5. Step 5: Solve for x
    x = 769,857.64/918.08
  6. Step 6: Final answer
    x = 838.55

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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.