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Finding the Fourth Proportional to 469.80, 645.30 and 415.80

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Solution

The fourth proportional to 469.80, 645.30 and 415.80 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 645.30 = 415.80 : x
  2. Step 2: Convert to fraction form
    469.80/645.30 = 415.80/x
  3. Step 3: Cross multiply
    469.80x = 645.30 × 415.80
  4. Step 4: Simplify right side
    469.80x = 268,315.74
  5. Step 5: Solve for x
    x = 268,315.74/469.80
  6. Step 6: Final answer
    x = 571.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.