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Finding the Fourth Proportional to 765.50, 1,056.64 and 450.76

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Solution

The fourth proportional to 765.50, 1,056.64 and 450.76 is: 622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,056.64 = 450.76 : x
  2. Step 2: Convert to fraction form
    765.50/1,056.64 = 450.76/x
  3. Step 3: Cross multiply
    765.50x = 1,056.64 × 450.76
  4. Step 4: Simplify right side
    765.50x = 476,287.28
  5. Step 5: Solve for x
    x = 476,287.28/765.50
  6. Step 6: Final answer
    x = 622.19

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1.5x scale

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.