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Finding the Fourth Proportional to 684.32, 942.36 and 509.36

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Solution

The fourth proportional to 684.32, 942.36 and 509.36 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.32 : 942.36 = 509.36 : x
  2. Step 2: Convert to fraction form
    684.32/942.36 = 509.36/x
  3. Step 3: Cross multiply
    684.32x = 942.36 × 509.36
  4. Step 4: Simplify right side
    684.32x = 480,000.49
  5. Step 5: Solve for x
    x = 480,000.49/684.32
  6. Step 6: Final answer
    x = 701.43

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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.