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Finding the Fourth Proportional to 934.61, 1,402.06 and 285.19

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Solution

The fourth proportional to 934.61, 1,402.06 and 285.19 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.61 : 1,402.06 = 285.19 : x
  2. Step 2: Convert to fraction form
    934.61/1,402.06 = 285.19/x
  3. Step 3: Cross multiply
    934.61x = 1,402.06 × 285.19
  4. Step 4: Simplify right side
    934.61x = 399,849.81
  5. Step 5: Solve for x
    x = 399,849.81/934.61
  6. Step 6: Final answer
    x = 427.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.