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Finding the Fourth Proportional to 509.04, 703.20 and 404.80

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Solution

The fourth proportional to 509.04, 703.20 and 404.80 is: 559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 703.20 = 404.80 : x
  2. Step 2: Convert to fraction form
    509.04/703.20 = 404.80/x
  3. Step 3: Cross multiply
    509.04x = 703.20 × 404.80
  4. Step 4: Simplify right side
    509.04x = 284,655.36
  5. Step 5: Solve for x
    x = 284,655.36/509.04
  6. Step 6: Final answer
    x = 559.20

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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.