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Finding the Fourth Proportional to 684.94, 944.82 and 463.66

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Solution

The fourth proportional to 684.94, 944.82 and 463.66 is: 639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 944.82 = 463.66 : x
  2. Step 2: Convert to fraction form
    684.94/944.82 = 463.66/x
  3. Step 3: Cross multiply
    684.94x = 944.82 × 463.66
  4. Step 4: Simplify right side
    684.94x = 438,075.24
  5. Step 5: Solve for x
    x = 438,075.24/684.94
  6. Step 6: Final answer
    x = 639.58

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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.