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Finding the Fourth Proportional to 753.70, 1,039.86 and 458.50

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Solution

The fourth proportional to 753.70, 1,039.86 and 458.50 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.70 : 1,039.86 = 458.50 : x
  2. Step 2: Convert to fraction form
    753.70/1,039.86 = 458.50/x
  3. Step 3: Cross multiply
    753.70x = 1,039.86 × 458.50
  4. Step 4: Simplify right side
    753.70x = 476,775.81
  5. Step 5: Solve for x
    x = 476,775.81/753.70
  6. Step 6: Final answer
    x = 632.58

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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.