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Finding the Fourth Proportional to 565.04, 778.85 and 398.99

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Solution

The fourth proportional to 565.04, 778.85 and 398.99 is: 549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.04 : 778.85 = 398.99 : x
  2. Step 2: Convert to fraction form
    565.04/778.85 = 398.99/x
  3. Step 3: Cross multiply
    565.04x = 778.85 × 398.99
  4. Step 4: Simplify right side
    565.04x = 310,754.81
  5. Step 5: Solve for x
    x = 310,754.81/565.04
  6. Step 6: Final answer
    x = 549.97

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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.