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Finding the Fourth Proportional to 565.16, 847.08 and 354.18

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Solution

The fourth proportional to 565.16, 847.08 and 354.18 is: 530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.16 : 847.08 = 354.18 : x
  2. Step 2: Convert to fraction form
    565.16/847.08 = 354.18/x
  3. Step 3: Cross multiply
    565.16x = 847.08 × 354.18
  4. Step 4: Simplify right side
    565.16x = 300,015.44
  5. Step 5: Solve for x
    x = 300,015.44/565.16
  6. Step 6: Final answer
    x = 530.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.