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Finding the Fourth Proportional to 765.46, 1,056.22 and 450.53

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Solution

The fourth proportional to 765.46, 1,056.22 and 450.53 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.46 : 1,056.22 = 450.53 : x
  2. Step 2: Convert to fraction form
    765.46/1,056.22 = 450.53/x
  3. Step 3: Cross multiply
    765.46x = 1,056.22 × 450.53
  4. Step 4: Simplify right side
    765.46x = 475,862.29
  5. Step 5: Solve for x
    x = 475,862.29/765.46
  6. Step 6: Final answer
    x = 621.67

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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.