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Finding the Fourth Proportional to 565.58, 849 and 403.40

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Solution

The fourth proportional to 565.58, 849 and 403.40 is: 605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 849 = 403.40 : x
  2. Step 2: Convert to fraction form
    565.58/849 = 403.40/x
  3. Step 3: Cross multiply
    565.58x = 849 × 403.40
  4. Step 4: Simplify right side
    565.58x = 342,486.60
  5. Step 5: Solve for x
    x = 342,486.60/565.58
  6. Step 6: Final answer
    x = 605.55

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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.