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Finding the Fourth Proportional to 684.07, 944.06 and 404.47

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Solution

The fourth proportional to 684.07, 944.06 and 404.47 is: 558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 944.06 = 404.47 : x
  2. Step 2: Convert to fraction form
    684.07/944.06 = 404.47/x
  3. Step 3: Cross multiply
    684.07x = 944.06 × 404.47
  4. Step 4: Simplify right side
    684.07x = 381,840.45
  5. Step 5: Solve for x
    x = 381,840.45/684.07
  6. Step 6: Final answer
    x = 558.19

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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.