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Finding the Fourth Proportional to 929.16, 1,279.36 and 854.08

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Solution

The fourth proportional to 929.16, 1,279.36 and 854.08 is: 1,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.16 : 1,279.36 = 854.08 : x
  2. Step 2: Convert to fraction form
    929.16/1,279.36 = 854.08/x
  3. Step 3: Cross multiply
    929.16x = 1,279.36 × 854.08
  4. Step 4: Simplify right side
    929.16x = 1,092,675.79
  5. Step 5: Solve for x
    x = 1,092,675.79/929.16
  6. Step 6: Final answer
    x = 1,175.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.