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Finding the Fourth Proportional to 703.35, 1,053.54 and 540.27

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Solution

The fourth proportional to 703.35, 1,053.54 and 540.27 is: 809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.35 : 1,053.54 = 540.27 : x
  2. Step 2: Convert to fraction form
    703.35/1,053.54 = 540.27/x
  3. Step 3: Cross multiply
    703.35x = 1,053.54 × 540.27
  4. Step 4: Simplify right side
    703.35x = 569,196.06
  5. Step 5: Solve for x
    x = 569,196.06/703.35
  6. Step 6: Final answer
    x = 809.26

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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.