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Finding the Fourth Proportional to 509.57, 760.45 and 454.89

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Solution

The fourth proportional to 509.57, 760.45 and 454.89 is: 678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.57 : 760.45 = 454.89 : x
  2. Step 2: Convert to fraction form
    509.57/760.45 = 454.89/x
  3. Step 3: Cross multiply
    509.57x = 760.45 × 454.89
  4. Step 4: Simplify right side
    509.57x = 345,918.83
  5. Step 5: Solve for x
    x = 345,918.83/509.57
  6. Step 6: Final answer
    x = 678.84

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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.