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Finding the Fourth Proportional to 509.40, 768.33 and 485.40

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Solution

The fourth proportional to 509.40, 768.33 and 485.40 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 768.33 = 485.40 : x
  2. Step 2: Convert to fraction form
    509.40/768.33 = 485.40/x
  3. Step 3: Cross multiply
    509.40x = 768.33 × 485.40
  4. Step 4: Simplify right side
    509.40x = 372,947.38
  5. Step 5: Solve for x
    x = 372,947.38/509.40
  6. Step 6: Final answer
    x = 732.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.