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Finding the Fourth Proportional to 509.12, 701.75 and 404.02

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Solution

The fourth proportional to 509.12, 701.75 and 404.02 is: 556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 701.75 = 404.02 : x
  2. Step 2: Convert to fraction form
    509.12/701.75 = 404.02/x
  3. Step 3: Cross multiply
    509.12x = 701.75 × 404.02
  4. Step 4: Simplify right side
    509.12x = 283,515.51
  5. Step 5: Solve for x
    x = 283,515.51/509.12
  6. Step 6: Final answer
    x = 556.87

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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.