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Finding the Fourth Proportional to 1,070.69, 1,604.93 and 454.78

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Solution

The fourth proportional to 1,070.69, 1,604.93 and 454.78 is: 681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.69 : 1,604.93 = 454.78 : x
  2. Step 2: Convert to fraction form
    1,070.69/1,604.93 = 454.78/x
  3. Step 3: Cross multiply
    1,070.69x = 1,604.93 × 454.78
  4. Step 4: Simplify right side
    1,070.69x = 729,890.07
  5. Step 5: Solve for x
    x = 729,890.07/1,070.69
  6. Step 6: Final answer
    x = 681.70

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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.