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Finding the Fourth Proportional to 918.67, 1,268.18 and 587.55

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Solution

The fourth proportional to 918.67, 1,268.18 and 587.55 is: 811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.67 : 1,268.18 = 587.55 : x
  2. Step 2: Convert to fraction form
    918.67/1,268.18 = 587.55/x
  3. Step 3: Cross multiply
    918.67x = 1,268.18 × 587.55
  4. Step 4: Simplify right side
    918.67x = 745,114.29
  5. Step 5: Solve for x
    x = 745,114.29/918.67
  6. Step 6: Final answer
    x = 811.08

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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.