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Finding the Fourth Proportional to 565.07, 845.71 and 427.35

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Solution

The fourth proportional to 565.07, 845.71 and 427.35 is: 639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.07 : 845.71 = 427.35 : x
  2. Step 2: Convert to fraction form
    565.07/845.71 = 427.35/x
  3. Step 3: Cross multiply
    565.07x = 845.71 × 427.35
  4. Step 4: Simplify right side
    565.07x = 361,411.51
  5. Step 5: Solve for x
    x = 361,411.51/565.07
  6. Step 6: Final answer
    x = 639.59

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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.