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Finding the Fourth Proportional to 565.70, 847.20 and 457.70

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Solution

The fourth proportional to 565.70, 847.20 and 457.70 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.70 : 847.20 = 457.70 : x
  2. Step 2: Convert to fraction form
    565.70/847.20 = 457.70/x
  3. Step 3: Cross multiply
    565.70x = 847.20 × 457.70
  4. Step 4: Simplify right side
    565.70x = 387,763.44
  5. Step 5: Solve for x
    x = 387,763.44/565.70
  6. Step 6: Final answer
    x = 685.46

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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.