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Finding the Fourth Proportional to 757.69, 1,045.79 and 463.21

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Solution

The fourth proportional to 757.69, 1,045.79 and 463.21 is: 639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.69 : 1,045.79 = 463.21 : x
  2. Step 2: Convert to fraction form
    757.69/1,045.79 = 463.21/x
  3. Step 3: Cross multiply
    757.69x = 1,045.79 × 463.21
  4. Step 4: Simplify right side
    757.69x = 484,420.39
  5. Step 5: Solve for x
    x = 484,420.39/757.69
  6. Step 6: Final answer
    x = 639.34

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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.