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Finding the Fourth Proportional to 1,070.72, 1,605.96 and 290.68

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Solution

The fourth proportional to 1,070.72, 1,605.96 and 290.68 is: 435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.72 : 1,605.96 = 290.68 : x
  2. Step 2: Convert to fraction form
    1,070.72/1,605.96 = 290.68/x
  3. Step 3: Cross multiply
    1,070.72x = 1,605.96 × 290.68
  4. Step 4: Simplify right side
    1,070.72x = 466,820.45
  5. Step 5: Solve for x
    x = 466,820.45/1,070.72
  6. Step 6: Final answer
    x = 435.99

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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.