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Finding the Fourth Proportional to 904.46, 1,355.57 and 514.78

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Solution

The fourth proportional to 904.46, 1,355.57 and 514.78 is: 771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.46 : 1,355.57 = 514.78 : x
  2. Step 2: Convert to fraction form
    904.46/1,355.57 = 514.78/x
  3. Step 3: Cross multiply
    904.46x = 1,355.57 × 514.78
  4. Step 4: Simplify right side
    904.46x = 697,814.36
  5. Step 5: Solve for x
    x = 697,814.36/904.46
  6. Step 6: Final answer
    x = 771.53

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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.