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Finding the Fourth Proportional to 753.15, 1,039.40 and 421.61

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Solution

The fourth proportional to 753.15, 1,039.40 and 421.61 is: 581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.15 : 1,039.40 = 421.61 : x
  2. Step 2: Convert to fraction form
    753.15/1,039.40 = 421.61/x
  3. Step 3: Cross multiply
    753.15x = 1,039.40 × 421.61
  4. Step 4: Simplify right side
    753.15x = 438,216.24
  5. Step 5: Solve for x
    x = 438,216.24/753.15
  6. Step 6: Final answer
    x = 581.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.