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Finding the Fourth Proportional to 756.86, 1,043.94 and 458.01

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Solution

The fourth proportional to 756.86, 1,043.94 and 458.01 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,043.94 = 458.01 : x
  2. Step 2: Convert to fraction form
    756.86/1,043.94 = 458.01/x
  3. Step 3: Cross multiply
    756.86x = 1,043.94 × 458.01
  4. Step 4: Simplify right side
    756.86x = 478,134.96
  5. Step 5: Solve for x
    x = 478,134.96/756.86
  6. Step 6: Final answer
    x = 631.74

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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.