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Finding the Fourth Proportional to 565.12, 778.88 and 407.84

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Solution

The fourth proportional to 565.12, 778.88 and 407.84 is: 562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 778.88 = 407.84 : x
  2. Step 2: Convert to fraction form
    565.12/778.88 = 407.84/x
  3. Step 3: Cross multiply
    565.12x = 778.88 × 407.84
  4. Step 4: Simplify right side
    565.12x = 317,658.42
  5. Step 5: Solve for x
    x = 317,658.42/565.12
  6. Step 6: Final answer
    x = 562.11

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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.