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Finding the Fourth Proportional to 1,070.43, 1,603.59 and 795.71

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Solution

The fourth proportional to 1,070.43, 1,603.59 and 795.71 is: 1,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.43 : 1,603.59 = 795.71 : x
  2. Step 2: Convert to fraction form
    1,070.43/1,603.59 = 795.71/x
  3. Step 3: Cross multiply
    1,070.43x = 1,603.59 × 795.71
  4. Step 4: Simplify right side
    1,070.43x = 1,275,984.58
  5. Step 5: Solve for x
    x = 1,275,984.58/1,070.43
  6. Step 6: Final answer
    x = 1,192.03

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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.