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Finding the Fourth Proportional to 672.84, 928.80 and 411.21

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Solution

The fourth proportional to 672.84, 928.80 and 411.21 is: 567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.84 : 928.80 = 411.21 : x
  2. Step 2: Convert to fraction form
    672.84/928.80 = 411.21/x
  3. Step 3: Cross multiply
    672.84x = 928.80 × 411.21
  4. Step 4: Simplify right side
    672.84x = 381,931.85
  5. Step 5: Solve for x
    x = 381,931.85/672.84
  6. Step 6: Final answer
    x = 567.64

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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.