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Finding the Fourth Proportional to 684.77, 944.64 and 463.64

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Solution

The fourth proportional to 684.77, 944.64 and 463.64 is: 639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.77 : 944.64 = 463.64 : x
  2. Step 2: Convert to fraction form
    684.77/944.64 = 463.64/x
  3. Step 3: Cross multiply
    684.77x = 944.64 × 463.64
  4. Step 4: Simplify right side
    684.77x = 437,968.17
  5. Step 5: Solve for x
    x = 437,968.17/684.77
  6. Step 6: Final answer
    x = 639.59

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Find fourth proportional to 342.38, 472.32 and 231.82
Half scale
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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.