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Finding the Fourth Proportional to 703.91, 1,056.05 and 357.12

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Solution

The fourth proportional to 703.91, 1,056.05 and 357.12 is: 535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.91 : 1,056.05 = 357.12 : x
  2. Step 2: Convert to fraction form
    703.91/1,056.05 = 357.12/x
  3. Step 3: Cross multiply
    703.91x = 1,056.05 × 357.12
  4. Step 4: Simplify right side
    703.91x = 377,134.79
  5. Step 5: Solve for x
    x = 377,134.79/703.91
  6. Step 6: Final answer
    x = 535.78

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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.