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Finding the Fourth Proportional to 753.41, 1,039.70 and 458.47

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Solution

The fourth proportional to 753.41, 1,039.70 and 458.47 is: 632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.41 : 1,039.70 = 458.47 : x
  2. Step 2: Convert to fraction form
    753.41/1,039.70 = 458.47/x
  3. Step 3: Cross multiply
    753.41x = 1,039.70 × 458.47
  4. Step 4: Simplify right side
    753.41x = 476,671.26
  5. Step 5: Solve for x
    x = 476,671.26/753.41
  6. Step 6: Final answer
    x = 632.69

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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.