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Finding the Fourth Proportional to 740.35, 1,111.17 and 393.94

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Solution

The fourth proportional to 740.35, 1,111.17 and 393.94 is: 591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.35 : 1,111.17 = 393.94 : x
  2. Step 2: Convert to fraction form
    740.35/1,111.17 = 393.94/x
  3. Step 3: Cross multiply
    740.35x = 1,111.17 × 393.94
  4. Step 4: Simplify right side
    740.35x = 437,732.34
  5. Step 5: Solve for x
    x = 437,732.34/740.35
  6. Step 6: Final answer
    x = 591.25

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Why These Related Problems?

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