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Finding the Fourth Proportional to 684.38, 942.90 and 509.42

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Solution

The fourth proportional to 684.38, 942.90 and 509.42 is: 701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.38 : 942.90 = 509.42 : x
  2. Step 2: Convert to fraction form
    684.38/942.90 = 509.42/x
  3. Step 3: Cross multiply
    684.38x = 942.90 × 509.42
  4. Step 4: Simplify right side
    684.38x = 480,332.12
  5. Step 5: Solve for x
    x = 480,332.12/684.38
  6. Step 6: Final answer
    x = 701.85

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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.