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Finding the Fourth Proportional to 509.47, 762.57 and 335.72

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Solution

The fourth proportional to 509.47, 762.57 and 335.72 is: 502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.47 : 762.57 = 335.72 : x
  2. Step 2: Convert to fraction form
    509.47/762.57 = 335.72/x
  3. Step 3: Cross multiply
    509.47x = 762.57 × 335.72
  4. Step 4: Simplify right side
    509.47x = 256,010.00
  5. Step 5: Solve for x
    x = 256,010.00/509.47
  6. Step 6: Final answer
    x = 502.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.