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Finding the Fourth Proportional to 1,695.39, 2,543.17 and 526.19

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Solution

The fourth proportional to 1,695.39, 2,543.17 and 526.19 is: 789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.39 : 2,543.17 = 526.19 : x
  2. Step 2: Convert to fraction form
    1,695.39/2,543.17 = 526.19/x
  3. Step 3: Cross multiply
    1,695.39x = 2,543.17 × 526.19
  4. Step 4: Simplify right side
    1,695.39x = 1,338,187.11
  5. Step 5: Solve for x
    x = 1,338,187.11/1,695.39
  6. Step 6: Final answer
    x = 789.31

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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.