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Finding the Fourth Proportional to 756.87, 1,043.75 and 458.05

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Solution

The fourth proportional to 756.87, 1,043.75 and 458.05 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.87 : 1,043.75 = 458.05 : x
  2. Step 2: Convert to fraction form
    756.87/1,043.75 = 458.05/x
  3. Step 3: Cross multiply
    756.87x = 1,043.75 × 458.05
  4. Step 4: Simplify right side
    756.87x = 478,089.69
  5. Step 5: Solve for x
    x = 478,089.69/756.87
  6. Step 6: Final answer
    x = 631.67

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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.