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Finding the Fourth Proportional to 509.39, 703.71 and 404.15

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Solution

The fourth proportional to 509.39, 703.71 and 404.15 is: 558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.39 : 703.71 = 404.15 : x
  2. Step 2: Convert to fraction form
    509.39/703.71 = 404.15/x
  3. Step 3: Cross multiply
    509.39x = 703.71 × 404.15
  4. Step 4: Simplify right side
    509.39x = 284,400.88
  5. Step 5: Solve for x
    x = 284,400.88/509.39
  6. Step 6: Final answer
    x = 558.32

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1.5x scale

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.