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Finding the Fourth Proportional to 509.02, 701.76 and 404.45

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Solution

The fourth proportional to 509.02, 701.76 and 404.45 is: 557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 701.76 = 404.45 : x
  2. Step 2: Convert to fraction form
    509.02/701.76 = 404.45/x
  3. Step 3: Cross multiply
    509.02x = 701.76 × 404.45
  4. Step 4: Simplify right side
    509.02x = 283,829.45
  5. Step 5: Solve for x
    x = 283,829.45/509.02
  6. Step 6: Final answer
    x = 557.60

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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.