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Finding the Fourth Proportional to 565.02, 778.62 and 424.86

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Solution

The fourth proportional to 565.02, 778.62 and 424.86 is: 585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 778.62 = 424.86 : x
  2. Step 2: Convert to fraction form
    565.02/778.62 = 424.86/x
  3. Step 3: Cross multiply
    565.02x = 778.62 × 424.86
  4. Step 4: Simplify right side
    565.02x = 330,804.49
  5. Step 5: Solve for x
    x = 330,804.49/565.02
  6. Step 6: Final answer
    x = 585.47

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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.