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Finding the Fourth Proportional to 684.92, 945.98 and 499.24

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Solution

The fourth proportional to 684.92, 945.98 and 499.24 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 945.98 = 499.24 : x
  2. Step 2: Convert to fraction form
    684.92/945.98 = 499.24/x
  3. Step 3: Cross multiply
    684.92x = 945.98 × 499.24
  4. Step 4: Simplify right side
    684.92x = 472,271.06
  5. Step 5: Solve for x
    x = 472,271.06/684.92
  6. Step 6: Final answer
    x = 689.53

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.