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Finding the Fourth Proportional to 684.16, 944 and 404.32

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Solution

The fourth proportional to 684.16, 944 and 404.32 is: 557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 944 = 404.32 : x
  2. Step 2: Convert to fraction form
    684.16/944 = 404.32/x
  3. Step 3: Cross multiply
    684.16x = 944 × 404.32
  4. Step 4: Simplify right side
    684.16x = 381,678.08
  5. Step 5: Solve for x
    x = 381,678.08/684.16
  6. Step 6: Final answer
    x = 557.88

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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.