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Finding the Fourth Proportional to 765.45, 1,056.59 and 450.77

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Solution

The fourth proportional to 765.45, 1,056.59 and 450.77 is: 622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.45 : 1,056.59 = 450.77 : x
  2. Step 2: Convert to fraction form
    765.45/1,056.59 = 450.77/x
  3. Step 3: Cross multiply
    765.45x = 1,056.59 × 450.77
  4. Step 4: Simplify right side
    765.45x = 476,275.76
  5. Step 5: Solve for x
    x = 476,275.76/765.45
  6. Step 6: Final answer
    x = 622.22

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Double scale
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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.