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Finding the Fourth Proportional to 684.75, 945.24 and 499.64

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Solution

The fourth proportional to 684.75, 945.24 and 499.64 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 945.24 = 499.64 : x
  2. Step 2: Convert to fraction form
    684.75/945.24 = 499.64/x
  3. Step 3: Cross multiply
    684.75x = 945.24 × 499.64
  4. Step 4: Simplify right side
    684.75x = 472,285.30
  5. Step 5: Solve for x
    x = 472,285.30/684.75
  6. Step 6: Final answer
    x = 689.72

Related Problems

Find fourth proportional to 342.38, 472.62 and 249.82
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.