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Finding the Fourth Proportional to 743.61, 1,114.52 and 560.42

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Solution

The fourth proportional to 743.61, 1,114.52 and 560.42 is: 839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.61 : 1,114.52 = 560.42 : x
  2. Step 2: Convert to fraction form
    743.61/1,114.52 = 560.42/x
  3. Step 3: Cross multiply
    743.61x = 1,114.52 × 560.42
  4. Step 4: Simplify right side
    743.61x = 624,590.92
  5. Step 5: Solve for x
    x = 624,590.92/743.61
  6. Step 6: Final answer
    x = 839.94

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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.