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Finding the Fourth Proportional to 565.58, 845.03 and 497.90

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Solution

The fourth proportional to 565.58, 845.03 and 497.90 is: 743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 845.03 = 497.90 : x
  2. Step 2: Convert to fraction form
    565.58/845.03 = 497.90/x
  3. Step 3: Cross multiply
    565.58x = 845.03 × 497.90
  4. Step 4: Simplify right side
    565.58x = 420,739.04
  5. Step 5: Solve for x
    x = 420,739.04/565.58
  6. Step 6: Final answer
    x = 743.90

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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.