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Finding the Fourth Proportional to 703.37, 1,054.96 and 411.01

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Solution

The fourth proportional to 703.37, 1,054.96 and 411.01 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.37 : 1,054.96 = 411.01 : x
  2. Step 2: Convert to fraction form
    703.37/1,054.96 = 411.01/x
  3. Step 3: Cross multiply
    703.37x = 1,054.96 × 411.01
  4. Step 4: Simplify right side
    703.37x = 433,595.44
  5. Step 5: Solve for x
    x = 433,595.44/703.37
  6. Step 6: Final answer
    x = 616.45

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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.