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Finding the Fourth Proportional to 684.94, 945.48 and 507.61

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Solution

The fourth proportional to 684.94, 945.48 and 507.61 is: 700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 945.48 = 507.61 : x
  2. Step 2: Convert to fraction form
    684.94/945.48 = 507.61/x
  3. Step 3: Cross multiply
    684.94x = 945.48 × 507.61
  4. Step 4: Simplify right side
    684.94x = 479,935.10
  5. Step 5: Solve for x
    x = 479,935.10/684.94
  6. Step 6: Final answer
    x = 700.70

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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.