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Finding the Fourth Proportional to 509.12, 759.44 and 460.48

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Solution

The fourth proportional to 509.12, 759.44 and 460.48 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 759.44 = 460.48 : x
  2. Step 2: Convert to fraction form
    509.12/759.44 = 460.48/x
  3. Step 3: Cross multiply
    509.12x = 759.44 × 460.48
  4. Step 4: Simplify right side
    509.12x = 349,706.93
  5. Step 5: Solve for x
    x = 349,706.93/509.12
  6. Step 6: Final answer
    x = 686.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.