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Finding the Fourth Proportional to 565.85, 845.47 and 456.50

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Solution

The fourth proportional to 565.85, 845.47 and 456.50 is: 682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.85 : 845.47 = 456.50 : x
  2. Step 2: Convert to fraction form
    565.85/845.47 = 456.50/x
  3. Step 3: Cross multiply
    565.85x = 845.47 × 456.50
  4. Step 4: Simplify right side
    565.85x = 385,959.74
  5. Step 5: Solve for x
    x = 385,959.74/565.85
  6. Step 6: Final answer
    x = 682.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.